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Finding the Fourth Proportional to 22.78, 31.42 and 14.59

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Solution

The fourth proportional to 22.78, 31.42 and 14.59 is: 20.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.78 : 31.42 = 14.59 : x
  2. Step 2: Convert to fraction form
    22.78/31.42 = 14.59/x
  3. Step 3: Cross multiply
    22.78x = 31.42 × 14.59
  4. Step 4: Simplify right side
    22.78x = 458.42
  5. Step 5: Solve for x
    x = 458.42/22.78
  6. Step 6: Final answer
    x = 20.12

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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.