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Finding the Fourth Proportional to 132.84, 182.86 and 97.81

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Solution

The fourth proportional to 132.84, 182.86 and 97.81 is: 134.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.84 : 182.86 = 97.81 : x
  2. Step 2: Convert to fraction form
    132.84/182.86 = 97.81/x
  3. Step 3: Cross multiply
    132.84x = 182.86 × 97.81
  4. Step 4: Simplify right side
    132.84x = 17,884.83
  5. Step 5: Solve for x
    x = 17,884.83/132.84
  6. Step 6: Final answer
    x = 134.63

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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.