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Finding the Fourth Proportional to 131.81, 182.32 and 123.08

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Solution

The fourth proportional to 131.81, 182.32 and 123.08 is: 170.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.81 : 182.32 = 123.08 : x
  2. Step 2: Convert to fraction form
    131.81/182.32 = 123.08/x
  3. Step 3: Cross multiply
    131.81x = 182.32 × 123.08
  4. Step 4: Simplify right side
    131.81x = 22,438.73
  5. Step 5: Solve for x
    x = 22,438.73/131.81
  6. Step 6: Final answer
    x = 170.24

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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.