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Finding the Fourth Proportional to 37.44, 56.14 and 23.02

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Solution

The fourth proportional to 37.44, 56.14 and 23.02 is: 34.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.44 : 56.14 = 23.02 : x
  2. Step 2: Convert to fraction form
    37.44/56.14 = 23.02/x
  3. Step 3: Cross multiply
    37.44x = 56.14 × 23.02
  4. Step 4: Simplify right side
    37.44x = 1,292.14
  5. Step 5: Solve for x
    x = 1,292.14/37.44
  6. Step 6: Final answer
    x = 34.51

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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.