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Finding the Fourth Proportional to 132.65, 182.96 and 99.84

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Solution

The fourth proportional to 132.65, 182.96 and 99.84 is: 137.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.65 : 182.96 = 99.84 : x
  2. Step 2: Convert to fraction form
    132.65/182.96 = 99.84/x
  3. Step 3: Cross multiply
    132.65x = 182.96 × 99.84
  4. Step 4: Simplify right side
    132.65x = 18,266.23
  5. Step 5: Solve for x
    x = 18,266.23/132.65
  6. Step 6: Final answer
    x = 137.71

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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.