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Finding the Fourth Proportional to 96.41, 143.98 and 77.18

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Solution

The fourth proportional to 96.41, 143.98 and 77.18 is: 115.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.41 : 143.98 = 77.18 : x
  2. Step 2: Convert to fraction form
    96.41/143.98 = 77.18/x
  3. Step 3: Cross multiply
    96.41x = 143.98 × 77.18
  4. Step 4: Simplify right side
    96.41x = 11,112.21
  5. Step 5: Solve for x
    x = 11,112.21/96.41
  6. Step 6: Final answer
    x = 115.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.