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Finding the Fourth Proportional to 131.24, 181.07 and 75.22

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Solution

The fourth proportional to 131.24, 181.07 and 75.22 is: 103.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.24 : 181.07 = 75.22 : x
  2. Step 2: Convert to fraction form
    131.24/181.07 = 75.22/x
  3. Step 3: Cross multiply
    131.24x = 181.07 × 75.22
  4. Step 4: Simplify right side
    131.24x = 13,619.54
  5. Step 5: Solve for x
    x = 13,619.54/131.24
  6. Step 6: Final answer
    x = 103.77

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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.