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Finding the Fourth Proportional to 71.31, 106.95 and 32.78

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Solution

The fourth proportional to 71.31, 106.95 and 32.78 is: 49.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.31 : 106.95 = 32.78 : x
  2. Step 2: Convert to fraction form
    71.31/106.95 = 32.78/x
  3. Step 3: Cross multiply
    71.31x = 106.95 × 32.78
  4. Step 4: Simplify right side
    71.31x = 3,505.29
  5. Step 5: Solve for x
    x = 3,505.29/71.31
  6. Step 6: Final answer
    x = 49.16

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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.