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Finding the Fourth Proportional to 115.87, 159.42 and 100.28

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Solution

The fourth proportional to 115.87, 159.42 and 100.28 is: 137.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.87 : 159.42 = 100.28 : x
  2. Step 2: Convert to fraction form
    115.87/159.42 = 100.28/x
  3. Step 3: Cross multiply
    115.87x = 159.42 × 100.28
  4. Step 4: Simplify right side
    115.87x = 15,986.22
  5. Step 5: Solve for x
    x = 15,986.22/115.87
  6. Step 6: Final answer
    x = 137.97

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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.