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Finding the Fourth Proportional to 183.84, 275.70 and 106.89

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Solution

The fourth proportional to 183.84, 275.70 and 106.89 is: 160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.84 : 275.70 = 106.89 : x
  2. Step 2: Convert to fraction form
    183.84/275.70 = 106.89/x
  3. Step 3: Cross multiply
    183.84x = 275.70 × 106.89
  4. Step 4: Simplify right side
    183.84x = 29,468.94
  5. Step 5: Solve for x
    x = 29,468.94/183.84
  6. Step 6: Final answer
    x = 160.30

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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.