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Finding the Fourth Proportional to 174.56, 240.80 and 108.14

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Solution

The fourth proportional to 174.56, 240.80 and 108.14 is: 149.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.56 : 240.80 = 108.14 : x
  2. Step 2: Convert to fraction form
    174.56/240.80 = 108.14/x
  3. Step 3: Cross multiply
    174.56x = 240.80 × 108.14
  4. Step 4: Simplify right side
    174.56x = 26,040.11
  5. Step 5: Solve for x
    x = 26,040.11/174.56
  6. Step 6: Final answer
    x = 149.18

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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.