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Finding the Fourth Proportional to 132.31, 198.31 and 78.24

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Solution

The fourth proportional to 132.31, 198.31 and 78.24 is: 117.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.31 : 198.31 = 78.24 : x
  2. Step 2: Convert to fraction form
    132.31/198.31 = 78.24/x
  3. Step 3: Cross multiply
    132.31x = 198.31 × 78.24
  4. Step 4: Simplify right side
    132.31x = 15,515.77
  5. Step 5: Solve for x
    x = 15,515.77/132.31
  6. Step 6: Final answer
    x = 117.27

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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.