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Finding the Fourth Proportional to 80.13, 110.59 and 47.38

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Solution

The fourth proportional to 80.13, 110.59 and 47.38 is: 65.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.13 : 110.59 = 47.38 : x
  2. Step 2: Convert to fraction form
    80.13/110.59 = 47.38/x
  3. Step 3: Cross multiply
    80.13x = 110.59 × 47.38
  4. Step 4: Simplify right side
    80.13x = 5,239.75
  5. Step 5: Solve for x
    x = 5,239.75/80.13
  6. Step 6: Final answer
    x = 65.39

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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.