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Finding the Fourth Proportional to 77.97, 116.42 and 68.40

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Solution

The fourth proportional to 77.97, 116.42 and 68.40 is: 102.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.97 : 116.42 = 68.40 : x
  2. Step 2: Convert to fraction form
    77.97/116.42 = 68.40/x
  3. Step 3: Cross multiply
    77.97x = 116.42 × 68.40
  4. Step 4: Simplify right side
    77.97x = 7,962.79
  5. Step 5: Solve for x
    x = 7,962.79/77.97
  6. Step 6: Final answer
    x = 102.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.