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Finding the Fourth Proportional to 78.30, 108.05 and 49.19

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Solution

The fourth proportional to 78.30, 108.05 and 49.19 is: 67.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.30 : 108.05 = 49.19 : x
  2. Step 2: Convert to fraction form
    78.30/108.05 = 49.19/x
  3. Step 3: Cross multiply
    78.30x = 108.05 × 49.19
  4. Step 4: Simplify right side
    78.30x = 5,314.98
  5. Step 5: Solve for x
    x = 5,314.98/78.30
  6. Step 6: Final answer
    x = 67.88

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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.