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Finding the Fourth Proportional to 116.90, 175.01 and 82.08

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Solution

The fourth proportional to 116.90, 175.01 and 82.08 is: 122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.90 : 175.01 = 82.08 : x
  2. Step 2: Convert to fraction form
    116.90/175.01 = 82.08/x
  3. Step 3: Cross multiply
    116.90x = 175.01 × 82.08
  4. Step 4: Simplify right side
    116.90x = 14,364.97
  5. Step 5: Solve for x
    x = 14,364.97/116.90
  6. Step 6: Final answer
    x = 122.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.