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Finding the Fourth Proportional to 174.06, 240.17 and 116.01

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Solution

The fourth proportional to 174.06, 240.17 and 116.01 is: 160.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.06 : 240.17 = 116.01 : x
  2. Step 2: Convert to fraction form
    174.06/240.17 = 116.01/x
  3. Step 3: Cross multiply
    174.06x = 240.17 × 116.01
  4. Step 4: Simplify right side
    174.06x = 27,861.54
  5. Step 5: Solve for x
    x = 27,861.54/174.06
  6. Step 6: Final answer
    x = 160.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.