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Finding the Fourth Proportional to 137.52, 205.16 and 116.88

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Solution

The fourth proportional to 137.52, 205.16 and 116.88 is: 174.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.52 : 205.16 = 116.88 : x
  2. Step 2: Convert to fraction form
    137.52/205.16 = 116.88/x
  3. Step 3: Cross multiply
    137.52x = 205.16 × 116.88
  4. Step 4: Simplify right side
    137.52x = 23,978.52
  5. Step 5: Solve for x
    x = 23,978.52/137.52
  6. Step 6: Final answer
    x = 174.36

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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.