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Finding the Fourth Proportional to 183.59, 275.18 and 73.87

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Solution

The fourth proportional to 183.59, 275.18 and 73.87 is: 110.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.59 : 275.18 = 73.87 : x
  2. Step 2: Convert to fraction form
    183.59/275.18 = 73.87/x
  3. Step 3: Cross multiply
    183.59x = 275.18 × 73.87
  4. Step 4: Simplify right side
    183.59x = 20,327.04
  5. Step 5: Solve for x
    x = 20,327.04/183.59
  6. Step 6: Final answer
    x = 110.72

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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.