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Finding the Fourth Proportional to 74.18, 111.21 and 35.64

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Solution

The fourth proportional to 74.18, 111.21 and 35.64 is: 53.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.18 : 111.21 = 35.64 : x
  2. Step 2: Convert to fraction form
    74.18/111.21 = 35.64/x
  3. Step 3: Cross multiply
    74.18x = 111.21 × 35.64
  4. Step 4: Simplify right side
    74.18x = 3,963.52
  5. Step 5: Solve for x
    x = 3,963.52/74.18
  6. Step 6: Final answer
    x = 53.43

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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.