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Finding the Fourth Proportional to 80.58, 111.16 and 47.82

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Solution

The fourth proportional to 80.58, 111.16 and 47.82 is: 65.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.58 : 111.16 = 47.82 : x
  2. Step 2: Convert to fraction form
    80.58/111.16 = 47.82/x
  3. Step 3: Cross multiply
    80.58x = 111.16 × 47.82
  4. Step 4: Simplify right side
    80.58x = 5,315.67
  5. Step 5: Solve for x
    x = 5,315.67/80.58
  6. Step 6: Final answer
    x = 65.97

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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.