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Finding the Fourth Proportional to 115.64, 159.49 and 91.14

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Solution

The fourth proportional to 115.64, 159.49 and 91.14 is: 125.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.64 : 159.49 = 91.14 : x
  2. Step 2: Convert to fraction form
    115.64/159.49 = 91.14/x
  3. Step 3: Cross multiply
    115.64x = 159.49 × 91.14
  4. Step 4: Simplify right side
    115.64x = 14,535.92
  5. Step 5: Solve for x
    x = 14,535.92/115.64
  6. Step 6: Final answer
    x = 125.70

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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.