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Finding the Fourth Proportional to 54.86, 75.72 and 35.18

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Solution

The fourth proportional to 54.86, 75.72 and 35.18 is: 48.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.86 : 75.72 = 35.18 : x
  2. Step 2: Convert to fraction form
    54.86/75.72 = 35.18/x
  3. Step 3: Cross multiply
    54.86x = 75.72 × 35.18
  4. Step 4: Simplify right side
    54.86x = 2,663.83
  5. Step 5: Solve for x
    x = 2,663.83/54.86
  6. Step 6: Final answer
    x = 48.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.