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Finding the Fourth Proportional to 116.95, 161.24 and 75.43

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Solution

The fourth proportional to 116.95, 161.24 and 75.43 is: 104.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.95 : 161.24 = 75.43 : x
  2. Step 2: Convert to fraction form
    116.95/161.24 = 75.43/x
  3. Step 3: Cross multiply
    116.95x = 161.24 × 75.43
  4. Step 4: Simplify right side
    116.95x = 12,162.33
  5. Step 5: Solve for x
    x = 12,162.33/116.95
  6. Step 6: Final answer
    x = 104.00

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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.