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Finding the Fourth Proportional to 96.74, 144.28 and 93.02

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Solution

The fourth proportional to 96.74, 144.28 and 93.02 is: 138.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.74 : 144.28 = 93.02 : x
  2. Step 2: Convert to fraction form
    96.74/144.28 = 93.02/x
  3. Step 3: Cross multiply
    96.74x = 144.28 × 93.02
  4. Step 4: Simplify right side
    96.74x = 13,420.93
  5. Step 5: Solve for x
    x = 13,420.93/96.74
  6. Step 6: Final answer
    x = 138.73

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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.