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Finding the Fourth Proportional to 96.57, 144.09 and 90.77

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Solution

The fourth proportional to 96.57, 144.09 and 90.77 is: 135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.57 : 144.09 = 90.77 : x
  2. Step 2: Convert to fraction form
    96.57/144.09 = 90.77/x
  3. Step 3: Cross multiply
    96.57x = 144.09 × 90.77
  4. Step 4: Simplify right side
    96.57x = 13,078.33
  5. Step 5: Solve for x
    x = 13,078.33/96.57
  6. Step 6: Final answer
    x = 135.43

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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.