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Finding the Fourth Proportional to 78.23, 107.95 and 49.12

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Solution

The fourth proportional to 78.23, 107.95 and 49.12 is: 67.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.23 : 107.95 = 49.12 : x
  2. Step 2: Convert to fraction form
    78.23/107.95 = 49.12/x
  3. Step 3: Cross multiply
    78.23x = 107.95 × 49.12
  4. Step 4: Simplify right side
    78.23x = 5,302.50
  5. Step 5: Solve for x
    x = 5,302.50/78.23
  6. Step 6: Final answer
    x = 67.78

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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.