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Finding the Fourth Proportional to 24.57, 37.08 and 23.94

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Solution

The fourth proportional to 24.57, 37.08 and 23.94 is: 36.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.57 : 37.08 = 23.94 : x
  2. Step 2: Convert to fraction form
    24.57/37.08 = 23.94/x
  3. Step 3: Cross multiply
    24.57x = 37.08 × 23.94
  4. Step 4: Simplify right side
    24.57x = 887.70
  5. Step 5: Solve for x
    x = 887.70/24.57
  6. Step 6: Final answer
    x = 36.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.