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Finding the Fourth Proportional to 132.72, 198.72 and 102.04

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Solution

The fourth proportional to 132.72, 198.72 and 102.04 is: 152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.72 : 198.72 = 102.04 : x
  2. Step 2: Convert to fraction form
    132.72/198.72 = 102.04/x
  3. Step 3: Cross multiply
    132.72x = 198.72 × 102.04
  4. Step 4: Simplify right side
    132.72x = 20,277.39
  5. Step 5: Solve for x
    x = 20,277.39/132.72
  6. Step 6: Final answer
    x = 152.78

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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.