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Finding the Fourth Proportional to 24.19, 36.08 and 21.76

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Solution

The fourth proportional to 24.19, 36.08 and 21.76 is: 32.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.19 : 36.08 = 21.76 : x
  2. Step 2: Convert to fraction form
    24.19/36.08 = 21.76/x
  3. Step 3: Cross multiply
    24.19x = 36.08 × 21.76
  4. Step 4: Simplify right side
    24.19x = 785.02
  5. Step 5: Solve for x
    x = 785.02/24.19
  6. Step 6: Final answer
    x = 32.46

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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.