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Finding the Fourth Proportional to 132.79, 198.42 and 96.06

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Solution

The fourth proportional to 132.79, 198.42 and 96.06 is: 143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.79 : 198.42 = 96.06 : x
  2. Step 2: Convert to fraction form
    132.79/198.42 = 96.06/x
  3. Step 3: Cross multiply
    132.79x = 198.42 × 96.06
  4. Step 4: Simplify right side
    132.79x = 19,060.23
  5. Step 5: Solve for x
    x = 19,060.23/132.79
  6. Step 6: Final answer
    x = 143.54

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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.