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Finding the Fourth Proportional to 76.67, 114.39 and 65.71

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Solution

The fourth proportional to 76.67, 114.39 and 65.71 is: 98.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.67 : 114.39 = 65.71 : x
  2. Step 2: Convert to fraction form
    76.67/114.39 = 65.71/x
  3. Step 3: Cross multiply
    76.67x = 114.39 × 65.71
  4. Step 4: Simplify right side
    76.67x = 7,516.57
  5. Step 5: Solve for x
    x = 7,516.57/76.67
  6. Step 6: Final answer
    x = 98.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.