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Finding the Fourth Proportional to 81.90, 113.02 and 54.22

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Solution

The fourth proportional to 81.90, 113.02 and 54.22 is: 74.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.90 : 113.02 = 54.22 : x
  2. Step 2: Convert to fraction form
    81.90/113.02 = 54.22/x
  3. Step 3: Cross multiply
    81.90x = 113.02 × 54.22
  4. Step 4: Simplify right side
    81.90x = 6,127.67
  5. Step 5: Solve for x
    x = 6,127.67/81.90
  6. Step 6: Final answer
    x = 74.82

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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.