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Finding the Fourth Proportional to 132.06, 196.92 and 130.98

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Solution

The fourth proportional to 132.06, 196.92 and 130.98 is: 195.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.06 : 196.92 = 130.98 : x
  2. Step 2: Convert to fraction form
    132.06/196.92 = 130.98/x
  3. Step 3: Cross multiply
    132.06x = 196.92 × 130.98
  4. Step 4: Simplify right side
    132.06x = 25,792.58
  5. Step 5: Solve for x
    x = 25,792.58/132.06
  6. Step 6: Final answer
    x = 195.31

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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.