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Finding the Fourth Proportional to 132.34, 198.52 and 45.67

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Solution

The fourth proportional to 132.34, 198.52 and 45.67 is: 68.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.34 : 198.52 = 45.67 : x
  2. Step 2: Convert to fraction form
    132.34/198.52 = 45.67/x
  3. Step 3: Cross multiply
    132.34x = 198.52 × 45.67
  4. Step 4: Simplify right side
    132.34x = 9,066.41
  5. Step 5: Solve for x
    x = 9,066.41/132.34
  6. Step 6: Final answer
    x = 68.51

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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.