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Finding the Fourth Proportional to 132.13, 182.31 and 73.90

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Solution

The fourth proportional to 132.13, 182.31 and 73.90 is: 101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.13 : 182.31 = 73.90 : x
  2. Step 2: Convert to fraction form
    132.13/182.31 = 73.90/x
  3. Step 3: Cross multiply
    132.13x = 182.31 × 73.90
  4. Step 4: Simplify right side
    132.13x = 13,472.71
  5. Step 5: Solve for x
    x = 13,472.71/132.13
  6. Step 6: Final answer
    x = 101.97

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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.