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Finding the Fourth Proportional to 115.09, 158.83 and 73.61

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Solution

The fourth proportional to 115.09, 158.83 and 73.61 is: 101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.09 : 158.83 = 73.61 : x
  2. Step 2: Convert to fraction form
    115.09/158.83 = 73.61/x
  3. Step 3: Cross multiply
    115.09x = 158.83 × 73.61
  4. Step 4: Simplify right side
    115.09x = 11,691.48
  5. Step 5: Solve for x
    x = 11,691.48/115.09
  6. Step 6: Final answer
    x = 101.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.