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Finding the Fourth Proportional to 37.67, 56.36 and 24.77

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Solution

The fourth proportional to 37.67, 56.36 and 24.77 is: 37.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.67 : 56.36 = 24.77 : x
  2. Step 2: Convert to fraction form
    37.67/56.36 = 24.77/x
  3. Step 3: Cross multiply
    37.67x = 56.36 × 24.77
  4. Step 4: Simplify right side
    37.67x = 1,396.24
  5. Step 5: Solve for x
    x = 1,396.24/37.67
  6. Step 6: Final answer
    x = 37.07

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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.