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Finding the Fourth Proportional to 37.43, 56.17 and 23

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Solution

The fourth proportional to 37.43, 56.17 and 23 is: 34.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.43 : 56.17 = 23 : x
  2. Step 2: Convert to fraction form
    37.43/56.17 = 23/x
  3. Step 3: Cross multiply
    37.43x = 56.17 × 23
  4. Step 4: Simplify right side
    37.43x = 1,291.91
  5. Step 5: Solve for x
    x = 1,291.91/37.43
  6. Step 6: Final answer
    x = 34.52

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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.