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Finding the Fourth Proportional to 37.58, 51.85 and 21.20

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Solution

The fourth proportional to 37.58, 51.85 and 21.20 is: 29.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.58 : 51.85 = 21.20 : x
  2. Step 2: Convert to fraction form
    37.58/51.85 = 21.20/x
  3. Step 3: Cross multiply
    37.58x = 51.85 × 21.20
  4. Step 4: Simplify right side
    37.58x = 1,099.24
  5. Step 5: Solve for x
    x = 1,099.24/37.58
  6. Step 6: Final answer
    x = 29.25

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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.