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Finding the Fourth Proportional to 101.38, 152.11 and 79.78

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Solution

The fourth proportional to 101.38, 152.11 and 79.78 is: 119.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.38 : 152.11 = 79.78 : x
  2. Step 2: Convert to fraction form
    101.38/152.11 = 79.78/x
  3. Step 3: Cross multiply
    101.38x = 152.11 × 79.78
  4. Step 4: Simplify right side
    101.38x = 12,135.34
  5. Step 5: Solve for x
    x = 12,135.34/101.38
  6. Step 6: Final answer
    x = 119.70

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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.