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Finding the Fourth Proportional to 37.69, 52.01 and 23.14

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Solution

The fourth proportional to 37.69, 52.01 and 23.14 is: 31.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.69 : 52.01 = 23.14 : x
  2. Step 2: Convert to fraction form
    37.69/52.01 = 23.14/x
  3. Step 3: Cross multiply
    37.69x = 52.01 × 23.14
  4. Step 4: Simplify right side
    37.69x = 1,203.55
  5. Step 5: Solve for x
    x = 1,203.55/37.69
  6. Step 6: Final answer
    x = 31.93

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Why These Related Problems?

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