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Finding the Fourth Proportional to 131.29, 181.11 and 87.07

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Solution

The fourth proportional to 131.29, 181.11 and 87.07 is: 120.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.29 : 181.11 = 87.07 : x
  2. Step 2: Convert to fraction form
    131.29/181.11 = 87.07/x
  3. Step 3: Cross multiply
    131.29x = 181.11 × 87.07
  4. Step 4: Simplify right side
    131.29x = 15,769.25
  5. Step 5: Solve for x
    x = 15,769.25/131.29
  6. Step 6: Final answer
    x = 120.11

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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.