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Finding the Fourth Proportional to 96.77, 144.28 and 89.03

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Solution

The fourth proportional to 96.77, 144.28 and 89.03 is: 132.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.77 : 144.28 = 89.03 : x
  2. Step 2: Convert to fraction form
    96.77/144.28 = 89.03/x
  3. Step 3: Cross multiply
    96.77x = 144.28 × 89.03
  4. Step 4: Simplify right side
    96.77x = 12,845.25
  5. Step 5: Solve for x
    x = 12,845.25/96.77
  6. Step 6: Final answer
    x = 132.74

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