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Finding the Fourth Proportional to 78.39, 108.27 and 71.82

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Solution

The fourth proportional to 78.39, 108.27 and 71.82 is: 99.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.39 : 108.27 = 71.82 : x
  2. Step 2: Convert to fraction form
    78.39/108.27 = 71.82/x
  3. Step 3: Cross multiply
    78.39x = 108.27 × 71.82
  4. Step 4: Simplify right side
    78.39x = 7,775.95
  5. Step 5: Solve for x
    x = 7,775.95/78.39
  6. Step 6: Final answer
    x = 99.20

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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.