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Finding the Fourth Proportional to 136.80, 189.84 and 131.52

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Solution

The fourth proportional to 136.80, 189.84 and 131.52 is: 182.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.80 : 189.84 = 131.52 : x
  2. Step 2: Convert to fraction form
    136.80/189.84 = 131.52/x
  3. Step 3: Cross multiply
    136.80x = 189.84 × 131.52
  4. Step 4: Simplify right side
    136.80x = 24,967.76
  5. Step 5: Solve for x
    x = 24,967.76/136.80
  6. Step 6: Final answer
    x = 182.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.