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Finding the Fourth Proportional to 24.70, 37.01 and 11.17

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Solution

The fourth proportional to 24.70, 37.01 and 11.17 is: 16.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.70 : 37.01 = 11.17 : x
  2. Step 2: Convert to fraction form
    24.70/37.01 = 11.17/x
  3. Step 3: Cross multiply
    24.70x = 37.01 × 11.17
  4. Step 4: Simplify right side
    24.70x = 413.40
  5. Step 5: Solve for x
    x = 413.40/24.70
  6. Step 6: Final answer
    x = 16.74

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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.