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Finding the Fourth Proportional to 116.77, 175.17 and 44.65

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Solution

The fourth proportional to 116.77, 175.17 and 44.65 is: 66.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.77 : 175.17 = 44.65 : x
  2. Step 2: Convert to fraction form
    116.77/175.17 = 44.65/x
  3. Step 3: Cross multiply
    116.77x = 175.17 × 44.65
  4. Step 4: Simplify right side
    116.77x = 7,821.34
  5. Step 5: Solve for x
    x = 7,821.34/116.77
  6. Step 6: Final answer
    x = 66.98

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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.