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Finding the Fourth Proportional to 24.08, 36.12 and 16.07

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Solution

The fourth proportional to 24.08, 36.12 and 16.07 is: 24.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.08 : 36.12 = 16.07 : x
  2. Step 2: Convert to fraction form
    24.08/36.12 = 16.07/x
  3. Step 3: Cross multiply
    24.08x = 36.12 × 16.07
  4. Step 4: Simplify right side
    24.08x = 580.45
  5. Step 5: Solve for x
    x = 580.45/24.08
  6. Step 6: Final answer
    x = 24.11

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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.