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Finding the Fourth Proportional to 54.30, 81.75 and 46.86

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Solution

The fourth proportional to 54.30, 81.75 and 46.86 is: 70.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.30 : 81.75 = 46.86 : x
  2. Step 2: Convert to fraction form
    54.30/81.75 = 46.86/x
  3. Step 3: Cross multiply
    54.30x = 81.75 × 46.86
  4. Step 4: Simplify right side
    54.30x = 3,830.57
  5. Step 5: Solve for x
    x = 3,830.57/54.30
  6. Step 6: Final answer
    x = 70.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.