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Finding the Fourth Proportional to 96.41, 143.82 and 88.75

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Solution

The fourth proportional to 96.41, 143.82 and 88.75 is: 132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.41 : 143.82 = 88.75 : x
  2. Step 2: Convert to fraction form
    96.41/143.82 = 88.75/x
  3. Step 3: Cross multiply
    96.41x = 143.82 × 88.75
  4. Step 4: Simplify right side
    96.41x = 12,764.03
  5. Step 5: Solve for x
    x = 12,764.03/96.41
  6. Step 6: Final answer
    x = 132.39

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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.