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Finding the Fourth Proportional to 29.08, 40.13 and 16.14

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Solution

The fourth proportional to 29.08, 40.13 and 16.14 is: 22.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.08 : 40.13 = 16.14 : x
  2. Step 2: Convert to fraction form
    29.08/40.13 = 16.14/x
  3. Step 3: Cross multiply
    29.08x = 40.13 × 16.14
  4. Step 4: Simplify right side
    29.08x = 647.70
  5. Step 5: Solve for x
    x = 647.70/29.08
  6. Step 6: Final answer
    x = 22.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.