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Finding the Fourth Proportional to 132.19, 197.23 and 125.35

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Solution

The fourth proportional to 132.19, 197.23 and 125.35 is: 187.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.19 : 197.23 = 125.35 : x
  2. Step 2: Convert to fraction form
    132.19/197.23 = 125.35/x
  3. Step 3: Cross multiply
    132.19x = 197.23 × 125.35
  4. Step 4: Simplify right side
    132.19x = 24,722.78
  5. Step 5: Solve for x
    x = 24,722.78/132.19
  6. Step 6: Final answer
    x = 187.02

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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.