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Finding the Fourth Proportional to 77.57, 116.24 and 40.98

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Solution

The fourth proportional to 77.57, 116.24 and 40.98 is: 61.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.57 : 116.24 = 40.98 : x
  2. Step 2: Convert to fraction form
    77.57/116.24 = 40.98/x
  3. Step 3: Cross multiply
    77.57x = 116.24 × 40.98
  4. Step 4: Simplify right side
    77.57x = 4,763.31
  5. Step 5: Solve for x
    x = 4,763.31/77.57
  6. Step 6: Final answer
    x = 61.41

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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.