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Finding the Fourth Proportional to 81.31, 112.22 and 46.81

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Solution

The fourth proportional to 81.31, 112.22 and 46.81 is: 64.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.31 : 112.22 = 46.81 : x
  2. Step 2: Convert to fraction form
    81.31/112.22 = 46.81/x
  3. Step 3: Cross multiply
    81.31x = 112.22 × 46.81
  4. Step 4: Simplify right side
    81.31x = 5,253.02
  5. Step 5: Solve for x
    x = 5,253.02/81.31
  6. Step 6: Final answer
    x = 64.60

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Why These Related Problems?

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