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Finding the Fourth Proportional to 133, 198.17 and 124.72

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Solution

The fourth proportional to 133, 198.17 and 124.72 is: 185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    133 : 198.17 = 124.72 : x
  2. Step 2: Convert to fraction form
    133/198.17 = 124.72/x
  3. Step 3: Cross multiply
    133x = 198.17 × 124.72
  4. Step 4: Simplify right side
    133x = 24,715.76
  5. Step 5: Solve for x
    x = 24,715.76/133
  6. Step 6: Final answer
    x = 185.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.