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Finding the Fourth Proportional to 76.71, 114.54 and 76.26

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Solution

The fourth proportional to 76.71, 114.54 and 76.26 is: 113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.71 : 114.54 = 76.26 : x
  2. Step 2: Convert to fraction form
    76.71/114.54 = 76.26/x
  3. Step 3: Cross multiply
    76.71x = 114.54 × 76.26
  4. Step 4: Simplify right side
    76.71x = 8,734.82
  5. Step 5: Solve for x
    x = 8,734.82/76.71
  6. Step 6: Final answer
    x = 113.87

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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.