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Finding the Fourth Proportional to 77.82, 117.17 and 60.80

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Solution

The fourth proportional to 77.82, 117.17 and 60.80 is: 91.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.82 : 117.17 = 60.80 : x
  2. Step 2: Convert to fraction form
    77.82/117.17 = 60.80/x
  3. Step 3: Cross multiply
    77.82x = 117.17 × 60.80
  4. Step 4: Simplify right side
    77.82x = 7,123.05
  5. Step 5: Solve for x
    x = 7,123.05/77.82
  6. Step 6: Final answer
    x = 91.53

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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.