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Finding the Fourth Proportional to 131.81, 181.91 and 78.66

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Solution

The fourth proportional to 131.81, 181.91 and 78.66 is: 108.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.81 : 181.91 = 78.66 : x
  2. Step 2: Convert to fraction form
    131.81/181.91 = 78.66/x
  3. Step 3: Cross multiply
    131.81x = 181.91 × 78.66
  4. Step 4: Simplify right side
    131.81x = 14,309.24
  5. Step 5: Solve for x
    x = 14,309.24/131.81
  6. Step 6: Final answer
    x = 108.56

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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.