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Finding the Fourth Proportional to 115.16, 159.30 and 102.24

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Solution

The fourth proportional to 115.16, 159.30 and 102.24 is: 141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.16 : 159.30 = 102.24 : x
  2. Step 2: Convert to fraction form
    115.16/159.30 = 102.24/x
  3. Step 3: Cross multiply
    115.16x = 159.30 × 102.24
  4. Step 4: Simplify right side
    115.16x = 16,286.83
  5. Step 5: Solve for x
    x = 16,286.83/115.16
  6. Step 6: Final answer
    x = 141.43

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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.