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Finding the Fourth Proportional to 131.85, 181.91 and 76.56

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Solution

The fourth proportional to 131.85, 181.91 and 76.56 is: 105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.85 : 181.91 = 76.56 : x
  2. Step 2: Convert to fraction form
    131.85/181.91 = 76.56/x
  3. Step 3: Cross multiply
    131.85x = 181.91 × 76.56
  4. Step 4: Simplify right side
    131.85x = 13,927.62
  5. Step 5: Solve for x
    x = 13,927.62/131.85
  6. Step 6: Final answer
    x = 105.64

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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.