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Finding the Fourth Proportional to 74.19, 111.34 and 28.53

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Solution

The fourth proportional to 74.19, 111.34 and 28.53 is: 42.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.19 : 111.34 = 28.53 : x
  2. Step 2: Convert to fraction form
    74.19/111.34 = 28.53/x
  3. Step 3: Cross multiply
    74.19x = 111.34 × 28.53
  4. Step 4: Simplify right side
    74.19x = 3,177.02
  5. Step 5: Solve for x
    x = 3,177.02/74.19
  6. Step 6: Final answer
    x = 42.82

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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.