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Finding the Fourth Proportional to 131.93, 182.09 and 76.66

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Solution

The fourth proportional to 131.93, 182.09 and 76.66 is: 105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.93 : 182.09 = 76.66 : x
  2. Step 2: Convert to fraction form
    131.93/182.09 = 76.66/x
  3. Step 3: Cross multiply
    131.93x = 182.09 × 76.66
  4. Step 4: Simplify right side
    131.93x = 13,958.47
  5. Step 5: Solve for x
    x = 13,958.47/131.93
  6. Step 6: Final answer
    x = 105.80

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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.