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Finding the Fourth Proportional to 132.81, 183.54 and 97.89

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Solution

The fourth proportional to 132.81, 183.54 and 97.89 is: 135.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.81 : 183.54 = 97.89 : x
  2. Step 2: Convert to fraction form
    132.81/183.54 = 97.89/x
  3. Step 3: Cross multiply
    132.81x = 183.54 × 97.89
  4. Step 4: Simplify right side
    132.81x = 17,966.73
  5. Step 5: Solve for x
    x = 17,966.73/132.81
  6. Step 6: Final answer
    x = 135.28

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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.