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Finding the Fourth Proportional to 131.82, 182.01 and 102.79

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Solution

The fourth proportional to 131.82, 182.01 and 102.79 is: 141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.82 : 182.01 = 102.79 : x
  2. Step 2: Convert to fraction form
    131.82/182.01 = 102.79/x
  3. Step 3: Cross multiply
    131.82x = 182.01 × 102.79
  4. Step 4: Simplify right side
    131.82x = 18,708.81
  5. Step 5: Solve for x
    x = 18,708.81/131.82
  6. Step 6: Final answer
    x = 141.93

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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.