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Finding the Fourth Proportional to 137.52, 205.52 and 118.35

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Solution

The fourth proportional to 137.52, 205.52 and 118.35 is: 176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.52 : 205.52 = 118.35 : x
  2. Step 2: Convert to fraction form
    137.52/205.52 = 118.35/x
  3. Step 3: Cross multiply
    137.52x = 205.52 × 118.35
  4. Step 4: Simplify right side
    137.52x = 24,322.70
  5. Step 5: Solve for x
    x = 24,322.70/137.52
  6. Step 6: Final answer
    x = 176.87

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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.