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Finding the Fourth Proportional to 132.51, 198.85 and 51.35

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Solution

The fourth proportional to 132.51, 198.85 and 51.35 is: 77.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.51 : 198.85 = 51.35 : x
  2. Step 2: Convert to fraction form
    132.51/198.85 = 51.35/x
  3. Step 3: Cross multiply
    132.51x = 198.85 × 51.35
  4. Step 4: Simplify right side
    132.51x = 10,209.95
  5. Step 5: Solve for x
    x = 10,209.95/132.51
  6. Step 6: Final answer
    x = 77.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.