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Finding the Fourth Proportional to 183.80, 275.34 and 106.72

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Solution

The fourth proportional to 183.80, 275.34 and 106.72 is: 159.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.80 : 275.34 = 106.72 : x
  2. Step 2: Convert to fraction form
    183.80/275.34 = 106.72/x
  3. Step 3: Cross multiply
    183.80x = 275.34 × 106.72
  4. Step 4: Simplify right side
    183.80x = 29,384.28
  5. Step 5: Solve for x
    x = 29,384.28/183.80
  6. Step 6: Final answer
    x = 159.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.