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Finding the Fourth Proportional to 77.13, 116.28 and 71.46

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Solution

The fourth proportional to 77.13, 116.28 and 71.46 is: 107.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.13 : 116.28 = 71.46 : x
  2. Step 2: Convert to fraction form
    77.13/116.28 = 71.46/x
  3. Step 3: Cross multiply
    77.13x = 116.28 × 71.46
  4. Step 4: Simplify right side
    77.13x = 8,309.37
  5. Step 5: Solve for x
    x = 8,309.37/77.13
  6. Step 6: Final answer
    x = 107.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.