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Finding the Fourth Proportional to 23, 34.47 and 11.58

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Solution

The fourth proportional to 23, 34.47 and 11.58 is: 17.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23 : 34.47 = 11.58 : x
  2. Step 2: Convert to fraction form
    23/34.47 = 11.58/x
  3. Step 3: Cross multiply
    23x = 34.47 × 11.58
  4. Step 4: Simplify right side
    23x = 399.16
  5. Step 5: Solve for x
    x = 399.16/23
  6. Step 6: Final answer
    x = 17.35

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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.