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Finding the Fourth Proportional to 115.68, 159.71 and 84.57

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Solution

The fourth proportional to 115.68, 159.71 and 84.57 is: 116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.68 : 159.71 = 84.57 : x
  2. Step 2: Convert to fraction form
    115.68/159.71 = 84.57/x
  3. Step 3: Cross multiply
    115.68x = 159.71 × 84.57
  4. Step 4: Simplify right side
    115.68x = 13,506.67
  5. Step 5: Solve for x
    x = 13,506.67/115.68
  6. Step 6: Final answer
    x = 116.76

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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.