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Finding the Fourth Proportional to 42.71, 64.13 and 22.46

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Solution

The fourth proportional to 42.71, 64.13 and 22.46 is: 33.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.71 : 64.13 = 22.46 : x
  2. Step 2: Convert to fraction form
    42.71/64.13 = 22.46/x
  3. Step 3: Cross multiply
    42.71x = 64.13 × 22.46
  4. Step 4: Simplify right side
    42.71x = 1,439.93
  5. Step 5: Solve for x
    x = 1,439.93/42.71
  6. Step 6: Final answer
    x = 33.72

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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.