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Finding the Fourth Proportional to 174.08, 240.16 and 105.12

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Solution

The fourth proportional to 174.08, 240.16 and 105.12 is: 145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.08 : 240.16 = 105.12 : x
  2. Step 2: Convert to fraction form
    174.08/240.16 = 105.12/x
  3. Step 3: Cross multiply
    174.08x = 240.16 × 105.12
  4. Step 4: Simplify right side
    174.08x = 25,245.62
  5. Step 5: Solve for x
    x = 25,245.62/174.08
  6. Step 6: Final answer
    x = 145.02

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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.