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Finding the Fourth Proportional to 81, 120.69 and 76.86

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Solution

The fourth proportional to 81, 120.69 and 76.86 is: 114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81 : 120.69 = 76.86 : x
  2. Step 2: Convert to fraction form
    81/120.69 = 76.86/x
  3. Step 3: Cross multiply
    81x = 120.69 × 76.86
  4. Step 4: Simplify right side
    81x = 9,276.23
  5. Step 5: Solve for x
    x = 9,276.23/81
  6. Step 6: Final answer
    x = 114.52

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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.