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Finding the Fourth Proportional to 24.60, 33.74 and 21.87

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Solution

The fourth proportional to 24.60, 33.74 and 21.87 is: 30.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.60 : 33.74 = 21.87 : x
  2. Step 2: Convert to fraction form
    24.60/33.74 = 21.87/x
  3. Step 3: Cross multiply
    24.60x = 33.74 × 21.87
  4. Step 4: Simplify right side
    24.60x = 737.99
  5. Step 5: Solve for x
    x = 737.99/24.60
  6. Step 6: Final answer
    x = 30.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.