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Finding the Fourth Proportional to 80.90, 111.62 and 47.24

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Solution

The fourth proportional to 80.90, 111.62 and 47.24 is: 65.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.90 : 111.62 = 47.24 : x
  2. Step 2: Convert to fraction form
    80.90/111.62 = 47.24/x
  3. Step 3: Cross multiply
    80.90x = 111.62 × 47.24
  4. Step 4: Simplify right side
    80.90x = 5,272.93
  5. Step 5: Solve for x
    x = 5,272.93/80.90
  6. Step 6: Final answer
    x = 65.18

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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.