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Finding the Fourth Proportional to 131.52, 181.54 and 82.48

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Solution

The fourth proportional to 131.52, 181.54 and 82.48 is: 113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.52 : 181.54 = 82.48 : x
  2. Step 2: Convert to fraction form
    131.52/181.54 = 82.48/x
  3. Step 3: Cross multiply
    131.52x = 181.54 × 82.48
  4. Step 4: Simplify right side
    131.52x = 14,973.42
  5. Step 5: Solve for x
    x = 14,973.42/131.52
  6. Step 6: Final answer
    x = 113.85

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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.