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Finding the Fourth Proportional to 96.21, 143.45 and 89.71

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Solution

The fourth proportional to 96.21, 143.45 and 89.71 is: 133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.21 : 143.45 = 89.71 : x
  2. Step 2: Convert to fraction form
    96.21/143.45 = 89.71/x
  3. Step 3: Cross multiply
    96.21x = 143.45 × 89.71
  4. Step 4: Simplify right side
    96.21x = 12,868.43
  5. Step 5: Solve for x
    x = 12,868.43/96.21
  6. Step 6: Final answer
    x = 133.75

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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.