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Finding the Fourth Proportional to 132.59, 198.78 and 64.14

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Solution

The fourth proportional to 132.59, 198.78 and 64.14 is: 96.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.59 : 198.78 = 64.14 : x
  2. Step 2: Convert to fraction form
    132.59/198.78 = 64.14/x
  3. Step 3: Cross multiply
    132.59x = 198.78 × 64.14
  4. Step 4: Simplify right side
    132.59x = 12,749.75
  5. Step 5: Solve for x
    x = 12,749.75/132.59
  6. Step 6: Final answer
    x = 96.16

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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.