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Finding the Fourth Proportional to 77.92, 107.54 and 45.18

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Solution

The fourth proportional to 77.92, 107.54 and 45.18 is: 62.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.92 : 107.54 = 45.18 : x
  2. Step 2: Convert to fraction form
    77.92/107.54 = 45.18/x
  3. Step 3: Cross multiply
    77.92x = 107.54 × 45.18
  4. Step 4: Simplify right side
    77.92x = 4,858.66
  5. Step 5: Solve for x
    x = 4,858.66/77.92
  6. Step 6: Final answer
    x = 62.35

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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.