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Finding the Fourth Proportional to 48.81, 73.21 and 21.79

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Solution

The fourth proportional to 48.81, 73.21 and 21.79 is: 32.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.81 : 73.21 = 21.79 : x
  2. Step 2: Convert to fraction form
    48.81/73.21 = 21.79/x
  3. Step 3: Cross multiply
    48.81x = 73.21 × 21.79
  4. Step 4: Simplify right side
    48.81x = 1,595.25
  5. Step 5: Solve for x
    x = 1,595.25/48.81
  6. Step 6: Final answer
    x = 32.68

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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.