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Finding the Fourth Proportional to 116.86, 175.08 and 82.54

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Solution

The fourth proportional to 116.86, 175.08 and 82.54 is: 123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.86 : 175.08 = 82.54 : x
  2. Step 2: Convert to fraction form
    116.86/175.08 = 82.54/x
  3. Step 3: Cross multiply
    116.86x = 175.08 × 82.54
  4. Step 4: Simplify right side
    116.86x = 14,451.10
  5. Step 5: Solve for x
    x = 14,451.10/116.86
  6. Step 6: Final answer
    x = 123.66

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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.