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Finding the Fourth Proportional to 116.97, 161.40 and 75.53

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Solution

The fourth proportional to 116.97, 161.40 and 75.53 is: 104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.97 : 161.40 = 75.53 : x
  2. Step 2: Convert to fraction form
    116.97/161.40 = 75.53/x
  3. Step 3: Cross multiply
    116.97x = 161.40 × 75.53
  4. Step 4: Simplify right side
    116.97x = 12,189.74
  5. Step 5: Solve for x
    x = 12,189.74/116.97
  6. Step 6: Final answer
    x = 104.21

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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.