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Finding the Fourth Proportional to 78.73, 108.65 and 60.27

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Solution

The fourth proportional to 78.73, 108.65 and 60.27 is: 83.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.73 : 108.65 = 60.27 : x
  2. Step 2: Convert to fraction form
    78.73/108.65 = 60.27/x
  3. Step 3: Cross multiply
    78.73x = 108.65 × 60.27
  4. Step 4: Simplify right side
    78.73x = 6,548.34
  5. Step 5: Solve for x
    x = 6,548.34/78.73
  6. Step 6: Final answer
    x = 83.17

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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.