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Finding the Fourth Proportional to 103.01, 141.82 and 96.12

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Solution

The fourth proportional to 103.01, 141.82 and 96.12 is: 132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.01 : 141.82 = 96.12 : x
  2. Step 2: Convert to fraction form
    103.01/141.82 = 96.12/x
  3. Step 3: Cross multiply
    103.01x = 141.82 × 96.12
  4. Step 4: Simplify right side
    103.01x = 13,631.50
  5. Step 5: Solve for x
    x = 13,631.50/103.01
  6. Step 6: Final answer
    x = 132.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.