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Finding the Fourth Proportional to 76.39, 115.15 and 75.31

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Solution

The fourth proportional to 76.39, 115.15 and 75.31 is: 113.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.39 : 115.15 = 75.31 : x
  2. Step 2: Convert to fraction form
    76.39/115.15 = 75.31/x
  3. Step 3: Cross multiply
    76.39x = 115.15 × 75.31
  4. Step 4: Simplify right side
    76.39x = 8,671.95
  5. Step 5: Solve for x
    x = 8,671.95/76.39
  6. Step 6: Final answer
    x = 113.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.