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Finding the Fourth Proportional to 132.47, 198.75 and 78.30

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Solution

The fourth proportional to 132.47, 198.75 and 78.30 is: 117.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.47 : 198.75 = 78.30 : x
  2. Step 2: Convert to fraction form
    132.47/198.75 = 78.30/x
  3. Step 3: Cross multiply
    132.47x = 198.75 × 78.30
  4. Step 4: Simplify right side
    132.47x = 15,562.13
  5. Step 5: Solve for x
    x = 15,562.13/132.47
  6. Step 6: Final answer
    x = 117.48

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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.