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Finding the Fourth Proportional to 19.53, 29.24 and 16.12

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Solution

The fourth proportional to 19.53, 29.24 and 16.12 is: 24.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.53 : 29.24 = 16.12 : x
  2. Step 2: Convert to fraction form
    19.53/29.24 = 16.12/x
  3. Step 3: Cross multiply
    19.53x = 29.24 × 16.12
  4. Step 4: Simplify right side
    19.53x = 471.35
  5. Step 5: Solve for x
    x = 471.35/19.53
  6. Step 6: Final answer
    x = 24.13

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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.