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Finding the Fourth Proportional to 24.68, 36.84 and 22.56

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Solution

The fourth proportional to 24.68, 36.84 and 22.56 is: 33.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.68 : 36.84 = 22.56 : x
  2. Step 2: Convert to fraction form
    24.68/36.84 = 22.56/x
  3. Step 3: Cross multiply
    24.68x = 36.84 × 22.56
  4. Step 4: Simplify right side
    24.68x = 831.06
  5. Step 5: Solve for x
    x = 831.06/24.68
  6. Step 6: Final answer
    x = 33.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.