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Finding the Fourth Proportional to 131.90, 182.01 and 76.67

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Solution

The fourth proportional to 131.90, 182.01 and 76.67 is: 105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.90 : 182.01 = 76.67 : x
  2. Step 2: Convert to fraction form
    131.90/182.01 = 76.67/x
  3. Step 3: Cross multiply
    131.90x = 182.01 × 76.67
  4. Step 4: Simplify right side
    131.90x = 13,954.71
  5. Step 5: Solve for x
    x = 13,954.71/131.90
  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.