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Finding the Fourth Proportional to 116.25, 174.39 and 39.23

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Solution

The fourth proportional to 116.25, 174.39 and 39.23 is: 58.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.25 : 174.39 = 39.23 : x
  2. Step 2: Convert to fraction form
    116.25/174.39 = 39.23/x
  3. Step 3: Cross multiply
    116.25x = 174.39 × 39.23
  4. Step 4: Simplify right side
    116.25x = 6,841.76
  5. Step 5: Solve for x
    x = 6,841.76/116.25
  6. Step 6: Final answer
    x = 58.85

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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.