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Finding the Fourth Proportional to 78.10, 107.74 and 51.92

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Solution

The fourth proportional to 78.10, 107.74 and 51.92 is: 71.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.10 : 107.74 = 51.92 : x
  2. Step 2: Convert to fraction form
    78.10/107.74 = 51.92/x
  3. Step 3: Cross multiply
    78.10x = 107.74 × 51.92
  4. Step 4: Simplify right side
    78.10x = 5,593.86
  5. Step 5: Solve for x
    x = 5,593.86/78.10
  6. Step 6: Final answer
    x = 71.62

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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.