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Finding the Fourth Proportional to 132.69, 182.95 and 83.50

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Solution

The fourth proportional to 132.69, 182.95 and 83.50 is: 115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.69 : 182.95 = 83.50 : x
  2. Step 2: Convert to fraction form
    132.69/182.95 = 83.50/x
  3. Step 3: Cross multiply
    132.69x = 182.95 × 83.50
  4. Step 4: Simplify right side
    132.69x = 15,276.33
  5. Step 5: Solve for x
    x = 15,276.33/132.69
  6. Step 6: Final answer
    x = 115.13

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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.