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Finding the Fourth Proportional to 37.62, 51.91 and 23.06

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Solution

The fourth proportional to 37.62, 51.91 and 23.06 is: 31.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.62 : 51.91 = 23.06 : x
  2. Step 2: Convert to fraction form
    37.62/51.91 = 23.06/x
  3. Step 3: Cross multiply
    37.62x = 51.91 × 23.06
  4. Step 4: Simplify right side
    37.62x = 1,197.04
  5. Step 5: Solve for x
    x = 1,197.04/37.62
  6. Step 6: Final answer
    x = 31.82

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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.