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Finding the Fourth Proportional to 115.30, 158.92 and 102.25

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Solution

The fourth proportional to 115.30, 158.92 and 102.25 is: 140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.30 : 158.92 = 102.25 : x
  2. Step 2: Convert to fraction form
    115.30/158.92 = 102.25/x
  3. Step 3: Cross multiply
    115.30x = 158.92 × 102.25
  4. Step 4: Simplify right side
    115.30x = 16,249.57
  5. Step 5: Solve for x
    x = 16,249.57/115.30
  6. Step 6: Final answer
    x = 140.93

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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.