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Finding the Fourth Proportional to 48.05, 71.67 and 40.35

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Solution

The fourth proportional to 48.05, 71.67 and 40.35 is: 60.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.05 : 71.67 = 40.35 : x
  2. Step 2: Convert to fraction form
    48.05/71.67 = 40.35/x
  3. Step 3: Cross multiply
    48.05x = 71.67 × 40.35
  4. Step 4: Simplify right side
    48.05x = 2,891.88
  5. Step 5: Solve for x
    x = 2,891.88/48.05
  6. Step 6: Final answer
    x = 60.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.