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Finding the Fourth Proportional to 20, 29.84 and 19.74

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Solution

The fourth proportional to 20, 29.84 and 19.74 is: 29.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20 : 29.84 = 19.74 : x
  2. Step 2: Convert to fraction form
    20/29.84 = 19.74/x
  3. Step 3: Cross multiply
    20x = 29.84 × 19.74
  4. Step 4: Simplify right side
    20x = 589.04
  5. Step 5: Solve for x
    x = 589.04/20
  6. Step 6: Final answer
    x = 29.45

Related Problems

Find fourth proportional to 10, 14.92 and 9.87
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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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.