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Finding the Fourth Proportional to 81.48, 112.33 and 56.54

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Solution

The fourth proportional to 81.48, 112.33 and 56.54 is: 77.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.48 : 112.33 = 56.54 : x
  2. Step 2: Convert to fraction form
    81.48/112.33 = 56.54/x
  3. Step 3: Cross multiply
    81.48x = 112.33 × 56.54
  4. Step 4: Simplify right side
    81.48x = 6,351.55
  5. Step 5: Solve for x
    x = 6,351.55/81.48
  6. Step 6: Final answer
    x = 77.95

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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.