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Finding the Fourth Proportional to 36.70, 54.93 and 23.13

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Solution

The fourth proportional to 36.70, 54.93 and 23.13 is: 34.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.70 : 54.93 = 23.13 : x
  2. Step 2: Convert to fraction form
    36.70/54.93 = 23.13/x
  3. Step 3: Cross multiply
    36.70x = 54.93 × 23.13
  4. Step 4: Simplify right side
    36.70x = 1,270.62
  5. Step 5: Solve for x
    x = 1,270.62/36.70
  6. Step 6: Final answer
    x = 34.62

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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.