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Finding the Fourth Proportional to 78.77, 118.17 and 27.42

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Solution

The fourth proportional to 78.77, 118.17 and 27.42 is: 41.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.77 : 118.17 = 27.42 : x
  2. Step 2: Convert to fraction form
    78.77/118.17 = 27.42/x
  3. Step 3: Cross multiply
    78.77x = 118.17 × 27.42
  4. Step 4: Simplify right side
    78.77x = 3,240.22
  5. Step 5: Solve for x
    x = 3,240.22/78.77
  6. Step 6: Final answer
    x = 41.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.