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Finding the Fourth Proportional to 76.97, 106.13 and 60.06

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Solution

The fourth proportional to 76.97, 106.13 and 60.06 is: 82.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.97 : 106.13 = 60.06 : x
  2. Step 2: Convert to fraction form
    76.97/106.13 = 60.06/x
  3. Step 3: Cross multiply
    76.97x = 106.13 × 60.06
  4. Step 4: Simplify right side
    76.97x = 6,373.87
  5. Step 5: Solve for x
    x = 6,373.87/76.97
  6. Step 6: Final answer
    x = 82.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.