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Finding the Fourth Proportional to 132.24, 198.63 and 101.70

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Solution

The fourth proportional to 132.24, 198.63 and 101.70 is: 152.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.24 : 198.63 = 101.70 : x
  2. Step 2: Convert to fraction form
    132.24/198.63 = 101.70/x
  3. Step 3: Cross multiply
    132.24x = 198.63 × 101.70
  4. Step 4: Simplify right side
    132.24x = 20,200.67
  5. Step 5: Solve for x
    x = 20,200.67/132.24
  6. Step 6: Final answer
    x = 152.76

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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.