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Finding the Fourth Proportional to 158.24, 237.47 and 77.11

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Solution

The fourth proportional to 158.24, 237.47 and 77.11 is: 115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.24 : 237.47 = 77.11 : x
  2. Step 2: Convert to fraction form
    158.24/237.47 = 77.11/x
  3. Step 3: Cross multiply
    158.24x = 237.47 × 77.11
  4. Step 4: Simplify right side
    158.24x = 18,310.33
  5. Step 5: Solve for x
    x = 18,310.33/158.24
  6. Step 6: Final answer
    x = 115.71

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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.