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Finding the Fourth Proportional to 37.68, 52.00 and 21.30

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Solution

The fourth proportional to 37.68, 52.00 and 21.30 is: 29.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.68 : 52.00 = 21.30 : x
  2. Step 2: Convert to fraction form
    37.68/52.00 = 21.30/x
  3. Step 3: Cross multiply
    37.68x = 52.00 × 21.30
  4. Step 4: Simplify right side
    37.68x = 1,107.76
  5. Step 5: Solve for x
    x = 1,107.76/37.68
  6. Step 6: Final answer
    x = 29.40

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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.