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Finding the Fourth Proportional to 158.72, 237.67 and 77.34

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Solution

The fourth proportional to 158.72, 237.67 and 77.34 is: 115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.72 : 237.67 = 77.34 : x
  2. Step 2: Convert to fraction form
    158.72/237.67 = 77.34/x
  3. Step 3: Cross multiply
    158.72x = 237.67 × 77.34
  4. Step 4: Simplify right side
    158.72x = 18,382.10
  5. Step 5: Solve for x
    x = 18,382.10/158.72
  6. Step 6: Final answer
    x = 115.82

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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.