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Finding the Fourth Proportional to 37.62, 56.45 and 23.14

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Solution

The fourth proportional to 37.62, 56.45 and 23.14 is: 34.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.62 : 56.45 = 23.14 : x
  2. Step 2: Convert to fraction form
    37.62/56.45 = 23.14/x
  3. Step 3: Cross multiply
    37.62x = 56.45 × 23.14
  4. Step 4: Simplify right side
    37.62x = 1,306.25
  5. Step 5: Solve for x
    x = 1,306.25/37.62
  6. Step 6: Final answer
    x = 34.72

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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.