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Finding the Fourth Proportional to 78.31, 108.08 and 57.66

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Solution

The fourth proportional to 78.31, 108.08 and 57.66 is: 79.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.31 : 108.08 = 57.66 : x
  2. Step 2: Convert to fraction form
    78.31/108.08 = 57.66/x
  3. Step 3: Cross multiply
    78.31x = 108.08 × 57.66
  4. Step 4: Simplify right side
    78.31x = 6,231.89
  5. Step 5: Solve for x
    x = 6,231.89/78.31
  6. Step 6: Final answer
    x = 79.58

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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.