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Finding the Fourth Proportional to 131.20, 181.06 and 75.18

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Solution

The fourth proportional to 131.20, 181.06 and 75.18 is: 103.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.20 : 181.06 = 75.18 : x
  2. Step 2: Convert to fraction form
    131.20/181.06 = 75.18/x
  3. Step 3: Cross multiply
    131.20x = 181.06 × 75.18
  4. Step 4: Simplify right side
    131.20x = 13,612.58
  5. Step 5: Solve for x
    x = 13,612.58/131.20
  6. Step 6: Final answer
    x = 103.76

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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.