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Finding the Fourth Proportional to 81.86, 112.96 and 46.91

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Solution

The fourth proportional to 81.86, 112.96 and 46.91 is: 64.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.86 : 112.96 = 46.91 : x
  2. Step 2: Convert to fraction form
    81.86/112.96 = 46.91/x
  3. Step 3: Cross multiply
    81.86x = 112.96 × 46.91
  4. Step 4: Simplify right side
    81.86x = 5,298.27
  5. Step 5: Solve for x
    x = 5,298.27/81.86
  6. Step 6: Final answer
    x = 64.72

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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.