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Finding the Fourth Proportional to 158.67, 237.80 and 67.24

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Solution

The fourth proportional to 158.67, 237.80 and 67.24 is: 100.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.67 : 237.80 = 67.24 : x
  2. Step 2: Convert to fraction form
    158.67/237.80 = 67.24/x
  3. Step 3: Cross multiply
    158.67x = 237.80 × 67.24
  4. Step 4: Simplify right side
    158.67x = 15,990.14
  5. Step 5: Solve for x
    x = 15,990.14/158.67
  6. Step 6: Final answer
    x = 100.78

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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.