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Finding the Fourth Proportional to 132.46, 198.45 and 102.02

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Solution

The fourth proportional to 132.46, 198.45 and 102.02 is: 152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.46 : 198.45 = 102.02 : x
  2. Step 2: Convert to fraction form
    132.46/198.45 = 102.02/x
  3. Step 3: Cross multiply
    132.46x = 198.45 × 102.02
  4. Step 4: Simplify right side
    132.46x = 20,244.88
  5. Step 5: Solve for x
    x = 20,244.88/132.46
  6. Step 6: Final answer
    x = 152.84

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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.