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Finding the Fourth Proportional to 115.65, 159.36 and 102.42

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Solution

The fourth proportional to 115.65, 159.36 and 102.42 is: 141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.65 : 159.36 = 102.42 : x
  2. Step 2: Convert to fraction form
    115.65/159.36 = 102.42/x
  3. Step 3: Cross multiply
    115.65x = 159.36 × 102.42
  4. Step 4: Simplify right side
    115.65x = 16,321.65
  5. Step 5: Solve for x
    x = 16,321.65/115.65
  6. Step 6: Final answer
    x = 141.13

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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.