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Finding the Fourth Proportional to 115.24, 159.07 and 71.56

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Solution

The fourth proportional to 115.24, 159.07 and 71.56 is: 98.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.24 : 159.07 = 71.56 : x
  2. Step 2: Convert to fraction form
    115.24/159.07 = 71.56/x
  3. Step 3: Cross multiply
    115.24x = 159.07 × 71.56
  4. Step 4: Simplify right side
    115.24x = 11,383.05
  5. Step 5: Solve for x
    x = 11,383.05/115.24
  6. Step 6: Final answer
    x = 98.78

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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.