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Finding the Fourth Proportional to 132.39, 198.32 and 78.16

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Solution

The fourth proportional to 132.39, 198.32 and 78.16 is: 117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.39 : 198.32 = 78.16 : x
  2. Step 2: Convert to fraction form
    132.39/198.32 = 78.16/x
  3. Step 3: Cross multiply
    132.39x = 198.32 × 78.16
  4. Step 4: Simplify right side
    132.39x = 15,500.69
  5. Step 5: Solve for x
    x = 15,500.69/132.39
  6. Step 6: Final answer
    x = 117.08

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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.