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Finding the Fourth Proportional to 132.80, 183.16 and 97.81

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Solution

The fourth proportional to 132.80, 183.16 and 97.81 is: 134.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.80 : 183.16 = 97.81 : x
  2. Step 2: Convert to fraction form
    132.80/183.16 = 97.81/x
  3. Step 3: Cross multiply
    132.80x = 183.16 × 97.81
  4. Step 4: Simplify right side
    132.80x = 17,914.88
  5. Step 5: Solve for x
    x = 17,914.88/132.80
  6. Step 6: Final answer
    x = 134.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.