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Finding the Fourth Proportional to 103.16, 142.12 and 96.44

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Solution

The fourth proportional to 103.16, 142.12 and 96.44 is: 132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.16 : 142.12 = 96.44 : x
  2. Step 2: Convert to fraction form
    103.16/142.12 = 96.44/x
  3. Step 3: Cross multiply
    103.16x = 142.12 × 96.44
  4. Step 4: Simplify right side
    103.16x = 13,705.10
  5. Step 5: Solve for x
    x = 13,705.10/103.16
  6. Step 6: Final answer
    x = 132.86

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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.