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Finding the Fourth Proportional to 76.75, 114.97 and 49.71

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Solution

The fourth proportional to 76.75, 114.97 and 49.71 is: 74.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.75 : 114.97 = 49.71 : x
  2. Step 2: Convert to fraction form
    76.75/114.97 = 49.71/x
  3. Step 3: Cross multiply
    76.75x = 114.97 × 49.71
  4. Step 4: Simplify right side
    76.75x = 5,715.16
  5. Step 5: Solve for x
    x = 5,715.16/76.75
  6. Step 6: Final answer
    x = 74.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.