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Finding the Fourth Proportional to 76.92, 115.52 and 60.72

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Solution

The fourth proportional to 76.92, 115.52 and 60.72 is: 91.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.92 : 115.52 = 60.72 : x
  2. Step 2: Convert to fraction form
    76.92/115.52 = 60.72/x
  3. Step 3: Cross multiply
    76.92x = 115.52 × 60.72
  4. Step 4: Simplify right side
    76.92x = 7,014.37
  5. Step 5: Solve for x
    x = 7,014.37/76.92
  6. Step 6: Final answer
    x = 91.19

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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.