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Finding the Fourth Proportional to 115.68, 159.48 and 94.86

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Solution

The fourth proportional to 115.68, 159.48 and 94.86 is: 130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.68 : 159.48 = 94.86 : x
  2. Step 2: Convert to fraction form
    115.68/159.48 = 94.86/x
  3. Step 3: Cross multiply
    115.68x = 159.48 × 94.86
  4. Step 4: Simplify right side
    115.68x = 15,128.27
  5. Step 5: Solve for x
    x = 15,128.27/115.68
  6. Step 6: Final answer
    x = 130.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.