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Finding the Fourth Proportional to 158.86, 237.85 and 81.66

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Solution

The fourth proportional to 158.86, 237.85 and 81.66 is: 122.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.86 : 237.85 = 81.66 : x
  2. Step 2: Convert to fraction form
    158.86/237.85 = 81.66/x
  3. Step 3: Cross multiply
    158.86x = 237.85 × 81.66
  4. Step 4: Simplify right side
    158.86x = 19,422.30
  5. Step 5: Solve for x
    x = 19,422.30/158.86
  6. Step 6: Final answer
    x = 122.26

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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.