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Finding the Fourth Proportional to 81.62, 112.69 and 53.98

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Solution

The fourth proportional to 81.62, 112.69 and 53.98 is: 74.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.62 : 112.69 = 53.98 : x
  2. Step 2: Convert to fraction form
    81.62/112.69 = 53.98/x
  3. Step 3: Cross multiply
    81.62x = 112.69 × 53.98
  4. Step 4: Simplify right side
    81.62x = 6,083.01
  5. Step 5: Solve for x
    x = 6,083.01/81.62
  6. Step 6: Final answer
    x = 74.53

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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.