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Finding the Fourth Proportional to 24.77, 37.08 and 20.23

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Solution

The fourth proportional to 24.77, 37.08 and 20.23 is: 30.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.77 : 37.08 = 20.23 : x
  2. Step 2: Convert to fraction form
    24.77/37.08 = 20.23/x
  3. Step 3: Cross multiply
    24.77x = 37.08 × 20.23
  4. Step 4: Simplify right side
    24.77x = 750.13
  5. Step 5: Solve for x
    x = 750.13/24.77
  6. Step 6: Final answer
    x = 30.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.