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Finding the Fourth Proportional to 131.93, 182.01 and 76.65

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Solution

The fourth proportional to 131.93, 182.01 and 76.65 is: 105.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.93 : 182.01 = 76.65 : x
  2. Step 2: Convert to fraction form
    131.93/182.01 = 76.65/x
  3. Step 3: Cross multiply
    131.93x = 182.01 × 76.65
  4. Step 4: Simplify right side
    131.93x = 13,951.07
  5. Step 5: Solve for x
    x = 13,951.07/131.93
  6. Step 6: Final answer
    x = 105.75

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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.