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Finding the Fourth Proportional to 81.66, 112.46 and 76.45

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Solution

The fourth proportional to 81.66, 112.46 and 76.45 is: 105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.66 : 112.46 = 76.45 : x
  2. Step 2: Convert to fraction form
    81.66/112.46 = 76.45/x
  3. Step 3: Cross multiply
    81.66x = 112.46 × 76.45
  4. Step 4: Simplify right side
    81.66x = 8,597.70
  5. Step 5: Solve for x
    x = 8,597.70/81.66
  6. Step 6: Final answer
    x = 105.28

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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.