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Finding the Fourth Proportional to 77.67, 116.50 and 42.97

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Solution

The fourth proportional to 77.67, 116.50 and 42.97 is: 64.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.67 : 116.50 = 42.97 : x
  2. Step 2: Convert to fraction form
    77.67/116.50 = 42.97/x
  3. Step 3: Cross multiply
    77.67x = 116.50 × 42.97
  4. Step 4: Simplify right side
    77.67x = 5,006.01
  5. Step 5: Solve for x
    x = 5,006.01/77.67
  6. Step 6: Final answer
    x = 64.45

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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.