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Finding the Fourth Proportional to 77.29, 106.54 and 75.85

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Solution

The fourth proportional to 77.29, 106.54 and 75.85 is: 104.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.29 : 106.54 = 75.85 : x
  2. Step 2: Convert to fraction form
    77.29/106.54 = 75.85/x
  3. Step 3: Cross multiply
    77.29x = 106.54 × 75.85
  4. Step 4: Simplify right side
    77.29x = 8,081.06
  5. Step 5: Solve for x
    x = 8,081.06/77.29
  6. Step 6: Final answer
    x = 104.56

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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.