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Finding the Fourth Proportional to 37.29, 51.46 and 21.75

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Solution

The fourth proportional to 37.29, 51.46 and 21.75 is: 30.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.29 : 51.46 = 21.75 : x
  2. Step 2: Convert to fraction form
    37.29/51.46 = 21.75/x
  3. Step 3: Cross multiply
    37.29x = 51.46 × 21.75
  4. Step 4: Simplify right side
    37.29x = 1,119.26
  5. Step 5: Solve for x
    x = 1,119.26/37.29
  6. Step 6: Final answer
    x = 30.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.