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Finding the Fourth Proportional to 183.72, 253.54 and 110.05

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Solution

The fourth proportional to 183.72, 253.54 and 110.05 is: 151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.72 : 253.54 = 110.05 : x
  2. Step 2: Convert to fraction form
    183.72/253.54 = 110.05/x
  3. Step 3: Cross multiply
    183.72x = 253.54 × 110.05
  4. Step 4: Simplify right side
    183.72x = 27,901.53
  5. Step 5: Solve for x
    x = 27,901.53/183.72
  6. Step 6: Final answer
    x = 151.87

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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.