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Finding the Fourth Proportional to 22.59, 31.16 and 14.81

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Solution

The fourth proportional to 22.59, 31.16 and 14.81 is: 20.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.59 : 31.16 = 14.81 : x
  2. Step 2: Convert to fraction form
    22.59/31.16 = 14.81/x
  3. Step 3: Cross multiply
    22.59x = 31.16 × 14.81
  4. Step 4: Simplify right side
    22.59x = 461.36
  5. Step 5: Solve for x
    x = 461.36/22.59
  6. Step 6: Final answer
    x = 20.42

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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.