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Finding the Fourth Proportional to 115.28, 159.07 and 71.01

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Solution

The fourth proportional to 115.28, 159.07 and 71.01 is: 97.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.28 : 159.07 = 71.01 : x
  2. Step 2: Convert to fraction form
    115.28/159.07 = 71.01/x
  3. Step 3: Cross multiply
    115.28x = 159.07 × 71.01
  4. Step 4: Simplify right side
    115.28x = 11,295.56
  5. Step 5: Solve for x
    x = 11,295.56/115.28
  6. Step 6: Final answer
    x = 97.98

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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.