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Finding the Fourth Proportional to 103.02, 141.32 and 96.80

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Solution

The fourth proportional to 103.02, 141.32 and 96.80 is: 132.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.02 : 141.32 = 96.80 : x
  2. Step 2: Convert to fraction form
    103.02/141.32 = 96.80/x
  3. Step 3: Cross multiply
    103.02x = 141.32 × 96.80
  4. Step 4: Simplify right side
    103.02x = 13,679.78
  5. Step 5: Solve for x
    x = 13,679.78/103.02
  6. Step 6: Final answer
    x = 132.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.