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Finding the Fourth Proportional to 81.47, 112.51 and 76.93

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Solution

The fourth proportional to 81.47, 112.51 and 76.93 is: 106.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.47 : 112.51 = 76.93 : x
  2. Step 2: Convert to fraction form
    81.47/112.51 = 76.93/x
  3. Step 3: Cross multiply
    81.47x = 112.51 × 76.93
  4. Step 4: Simplify right side
    81.47x = 8,655.21
  5. Step 5: Solve for x
    x = 8,655.21/81.47
  6. Step 6: Final answer
    x = 106.23

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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.