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Finding the Fourth Proportional to 131.95, 182.08 and 76.69

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Solution

The fourth proportional to 131.95, 182.08 and 76.69 is: 105.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.95 : 182.08 = 76.69 : x
  2. Step 2: Convert to fraction form
    131.95/182.08 = 76.69/x
  3. Step 3: Cross multiply
    131.95x = 182.08 × 76.69
  4. Step 4: Simplify right side
    131.95x = 13,963.72
  5. Step 5: Solve for x
    x = 13,963.72/131.95
  6. Step 6: Final answer
    x = 105.83

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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.