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Finding the Fourth Proportional to 132.13, 198.03 and 97.63

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Solution

The fourth proportional to 132.13, 198.03 and 97.63 is: 146.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.13 : 198.03 = 97.63 : x
  2. Step 2: Convert to fraction form
    132.13/198.03 = 97.63/x
  3. Step 3: Cross multiply
    132.13x = 198.03 × 97.63
  4. Step 4: Simplify right side
    132.13x = 19,333.67
  5. Step 5: Solve for x
    x = 19,333.67/132.13
  6. Step 6: Final answer
    x = 146.32

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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.