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Finding the Fourth Proportional to 132.95, 198.25 and 123.70

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Solution

The fourth proportional to 132.95, 198.25 and 123.70 is: 184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.95 : 198.25 = 123.70 : x
  2. Step 2: Convert to fraction form
    132.95/198.25 = 123.70/x
  3. Step 3: Cross multiply
    132.95x = 198.25 × 123.70
  4. Step 4: Simplify right side
    132.95x = 24,523.85
  5. Step 5: Solve for x
    x = 24,523.85/132.95
  6. Step 6: Final answer
    x = 184.46

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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.