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Finding the Fourth Proportional to 37.85, 52.21 and 23.30

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Solution

The fourth proportional to 37.85, 52.21 and 23.30 is: 32.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.85 : 52.21 = 23.30 : x
  2. Step 2: Convert to fraction form
    37.85/52.21 = 23.30/x
  3. Step 3: Cross multiply
    37.85x = 52.21 × 23.30
  4. Step 4: Simplify right side
    37.85x = 1,216.46
  5. Step 5: Solve for x
    x = 1,216.46/37.85
  6. Step 6: Final answer
    x = 32.14

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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.