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Finding the Fourth Proportional to 48.81, 73.11 and 23.15

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Solution

The fourth proportional to 48.81, 73.11 and 23.15 is: 34.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.81 : 73.11 = 23.15 : x
  2. Step 2: Convert to fraction form
    48.81/73.11 = 23.15/x
  3. Step 3: Cross multiply
    48.81x = 73.11 × 23.15
  4. Step 4: Simplify right side
    48.81x = 1,692.16
  5. Step 5: Solve for x
    x = 1,692.16/48.81
  6. Step 6: Final answer
    x = 34.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.