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Finding the Fourth Proportional to 76.52, 114.86 and 60.68

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Solution

The fourth proportional to 76.52, 114.86 and 60.68 is: 91.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.52 : 114.86 = 60.68 : x
  2. Step 2: Convert to fraction form
    76.52/114.86 = 60.68/x
  3. Step 3: Cross multiply
    76.52x = 114.86 × 60.68
  4. Step 4: Simplify right side
    76.52x = 6,969.70
  5. Step 5: Solve for x
    x = 6,969.70/76.52
  6. Step 6: Final answer
    x = 91.08

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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.