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Finding the Fourth Proportional to 80.61, 111.22 and 58.78

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Solution

The fourth proportional to 80.61, 111.22 and 58.78 is: 81.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.61 : 111.22 = 58.78 : x
  2. Step 2: Convert to fraction form
    80.61/111.22 = 58.78/x
  3. Step 3: Cross multiply
    80.61x = 111.22 × 58.78
  4. Step 4: Simplify right side
    80.61x = 6,537.51
  5. Step 5: Solve for x
    x = 6,537.51/80.61
  6. Step 6: Final answer
    x = 81.10

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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.