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Finding the Fourth Proportional to 116.88, 161.16 and 75.44

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Solution

The fourth proportional to 116.88, 161.16 and 75.44 is: 104.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.88 : 161.16 = 75.44 : x
  2. Step 2: Convert to fraction form
    116.88/161.16 = 75.44/x
  3. Step 3: Cross multiply
    116.88x = 161.16 × 75.44
  4. Step 4: Simplify right side
    116.88x = 12,157.91
  5. Step 5: Solve for x
    x = 12,157.91/116.88
  6. Step 6: Final answer
    x = 104.02

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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.