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Finding the Fourth Proportional to 132.97, 183.45 and 77.67

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Solution

The fourth proportional to 132.97, 183.45 and 77.67 is: 107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.97 : 183.45 = 77.67 : x
  2. Step 2: Convert to fraction form
    132.97/183.45 = 77.67/x
  3. Step 3: Cross multiply
    132.97x = 183.45 × 77.67
  4. Step 4: Simplify right side
    132.97x = 14,248.56
  5. Step 5: Solve for x
    x = 14,248.56/132.97
  6. Step 6: Final answer
    x = 107.16

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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.