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Finding the Fourth Proportional to 116.74, 174.20 and 104.59

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Solution

The fourth proportional to 116.74, 174.20 and 104.59 is: 156.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.74 : 174.20 = 104.59 : x
  2. Step 2: Convert to fraction form
    116.74/174.20 = 104.59/x
  3. Step 3: Cross multiply
    116.74x = 174.20 × 104.59
  4. Step 4: Simplify right side
    116.74x = 18,219.58
  5. Step 5: Solve for x
    x = 18,219.58/116.74
  6. Step 6: Final answer
    x = 156.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.