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Finding the Fourth Proportional to 37.78, 56.66 and 24.23

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Solution

The fourth proportional to 37.78, 56.66 and 24.23 is: 36.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.78 : 56.66 = 24.23 : x
  2. Step 2: Convert to fraction form
    37.78/56.66 = 24.23/x
  3. Step 3: Cross multiply
    37.78x = 56.66 × 24.23
  4. Step 4: Simplify right side
    37.78x = 1,372.87
  5. Step 5: Solve for x
    x = 1,372.87/37.78
  6. Step 6: Final answer
    x = 36.34

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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.