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Finding the Fourth Proportional to 131.74, 181.57 and 107.24

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Solution

The fourth proportional to 131.74, 181.57 and 107.24 is: 147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.74 : 181.57 = 107.24 : x
  2. Step 2: Convert to fraction form
    131.74/181.57 = 107.24/x
  3. Step 3: Cross multiply
    131.74x = 181.57 × 107.24
  4. Step 4: Simplify right side
    131.74x = 19,471.57
  5. Step 5: Solve for x
    x = 19,471.57/131.74
  6. Step 6: Final answer
    x = 147.80

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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.