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Finding the Fourth Proportional to 77.50, 116.28 and 34.78

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Solution

The fourth proportional to 77.50, 116.28 and 34.78 is: 52.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.50 : 116.28 = 34.78 : x
  2. Step 2: Convert to fraction form
    77.50/116.28 = 34.78/x
  3. Step 3: Cross multiply
    77.50x = 116.28 × 34.78
  4. Step 4: Simplify right side
    77.50x = 4,044.22
  5. Step 5: Solve for x
    x = 4,044.22/77.50
  6. Step 6: Final answer
    x = 52.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.