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Finding the Fourth Proportional to 37.85, 52.23 and 34.77

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Solution

The fourth proportional to 37.85, 52.23 and 34.77 is: 47.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.85 : 52.23 = 34.77 : x
  2. Step 2: Convert to fraction form
    37.85/52.23 = 34.77/x
  3. Step 3: Cross multiply
    37.85x = 52.23 × 34.77
  4. Step 4: Simplify right side
    37.85x = 1,816.04
  5. Step 5: Solve for x
    x = 1,816.04/37.85
  6. Step 6: Final answer
    x = 47.98

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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.