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Finding the Fourth Proportional to 182.47, 273.76 and 91.06

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Solution

The fourth proportional to 182.47, 273.76 and 91.06 is: 136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.47 : 273.76 = 91.06 : x
  2. Step 2: Convert to fraction form
    182.47/273.76 = 91.06/x
  3. Step 3: Cross multiply
    182.47x = 273.76 × 91.06
  4. Step 4: Simplify right side
    182.47x = 24,928.59
  5. Step 5: Solve for x
    x = 24,928.59/182.47
  6. Step 6: Final answer
    x = 136.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.