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Finding the Fourth Proportional to 76.57, 114.95 and 58.25

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Solution

The fourth proportional to 76.57, 114.95 and 58.25 is: 87.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.57 : 114.95 = 58.25 : x
  2. Step 2: Convert to fraction form
    76.57/114.95 = 58.25/x
  3. Step 3: Cross multiply
    76.57x = 114.95 × 58.25
  4. Step 4: Simplify right side
    76.57x = 6,694.97
  5. Step 5: Solve for x
    x = 6,694.97/76.57
  6. Step 6: Final answer
    x = 87.44

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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.