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Finding the Fourth Proportional to 183.72, 275.61 and 74.04

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Solution

The fourth proportional to 183.72, 275.61 and 74.04 is: 111.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.72 : 275.61 = 74.04 : x
  2. Step 2: Convert to fraction form
    183.72/275.61 = 74.04/x
  3. Step 3: Cross multiply
    183.72x = 275.61 × 74.04
  4. Step 4: Simplify right side
    183.72x = 20,406.16
  5. Step 5: Solve for x
    x = 20,406.16/183.72
  6. Step 6: Final answer
    x = 111.07

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