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Finding the Fourth Proportional to 81.93, 112.98 and 52.41

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Solution

The fourth proportional to 81.93, 112.98 and 52.41 is: 72.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.93 : 112.98 = 52.41 : x
  2. Step 2: Convert to fraction form
    81.93/112.98 = 52.41/x
  3. Step 3: Cross multiply
    81.93x = 112.98 × 52.41
  4. Step 4: Simplify right side
    81.93x = 5,921.28
  5. Step 5: Solve for x
    x = 5,921.28/81.93
  6. Step 6: Final answer
    x = 72.27

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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.