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Finding the Fourth Proportional to 23, 34.56 and 20.96

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Solution

The fourth proportional to 23, 34.56 and 20.96 is: 31.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23 : 34.56 = 20.96 : x
  2. Step 2: Convert to fraction form
    23/34.56 = 20.96/x
  3. Step 3: Cross multiply
    23x = 34.56 × 20.96
  4. Step 4: Simplify right side
    23x = 724.38
  5. Step 5: Solve for x
    x = 724.38/23
  6. Step 6: Final answer
    x = 31.49

Related Problems

Find fourth proportional to 11.50, 17.28 and 10.48
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.