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Finding the Fourth Proportional to 96.90, 144.50 and 89.02

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Solution

The fourth proportional to 96.90, 144.50 and 89.02 is: 132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.90 : 144.50 = 89.02 : x
  2. Step 2: Convert to fraction form
    96.90/144.50 = 89.02/x
  3. Step 3: Cross multiply
    96.90x = 144.50 × 89.02
  4. Step 4: Simplify right side
    96.90x = 12,863.39
  5. Step 5: Solve for x
    x = 12,863.39/96.90
  6. Step 6: Final answer
    x = 132.75

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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.