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Finding the Fourth Proportional to 74.56, 111.86 and 54.20

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Solution

The fourth proportional to 74.56, 111.86 and 54.20 is: 81.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.56 : 111.86 = 54.20 : x
  2. Step 2: Convert to fraction form
    74.56/111.86 = 54.20/x
  3. Step 3: Cross multiply
    74.56x = 111.86 × 54.20
  4. Step 4: Simplify right side
    74.56x = 6,062.81
  5. Step 5: Solve for x
    x = 6,062.81/74.56
  6. Step 6: Final answer
    x = 81.31

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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.