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Finding the Fourth Proportional to 131.15, 181.03 and 82.10

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Solution

The fourth proportional to 131.15, 181.03 and 82.10 is: 113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.15 : 181.03 = 82.10 : x
  2. Step 2: Convert to fraction form
    131.15/181.03 = 82.10/x
  3. Step 3: Cross multiply
    131.15x = 181.03 × 82.10
  4. Step 4: Simplify right side
    131.15x = 14,862.56
  5. Step 5: Solve for x
    x = 14,862.56/131.15
  6. Step 6: Final answer
    x = 113.32

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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.