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Finding the Fourth Proportional to 24.54, 36.97 and 22.35

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Solution

The fourth proportional to 24.54, 36.97 and 22.35 is: 33.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.54 : 36.97 = 22.35 : x
  2. Step 2: Convert to fraction form
    24.54/36.97 = 22.35/x
  3. Step 3: Cross multiply
    24.54x = 36.97 × 22.35
  4. Step 4: Simplify right side
    24.54x = 826.28
  5. Step 5: Solve for x
    x = 826.28/24.54
  6. Step 6: Final answer
    x = 33.67

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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.