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Finding the Fourth Proportional to 22.59, 31.17 and 16.14

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Solution

The fourth proportional to 22.59, 31.17 and 16.14 is: 22.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.59 : 31.17 = 16.14 : x
  2. Step 2: Convert to fraction form
    22.59/31.17 = 16.14/x
  3. Step 3: Cross multiply
    22.59x = 31.17 × 16.14
  4. Step 4: Simplify right side
    22.59x = 503.08
  5. Step 5: Solve for x
    x = 503.08/22.59
  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.