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Finding the Fourth Proportional to 96.75, 144.16 and 90.54

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Solution

The fourth proportional to 96.75, 144.16 and 90.54 is: 134.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.75 : 144.16 = 90.54 : x
  2. Step 2: Convert to fraction form
    96.75/144.16 = 90.54/x
  3. Step 3: Cross multiply
    96.75x = 144.16 × 90.54
  4. Step 4: Simplify right side
    96.75x = 13,052.02
  5. Step 5: Solve for x
    x = 13,052.02/96.75
  6. Step 6: Final answer
    x = 134.90

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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.