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Finding the Fourth Proportional to 16.05, 24.03 and 11.53

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Solution

The fourth proportional to 16.05, 24.03 and 11.53 is: 17.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.05 : 24.03 = 11.53 : x
  2. Step 2: Convert to fraction form
    16.05/24.03 = 11.53/x
  3. Step 3: Cross multiply
    16.05x = 24.03 × 11.53
  4. Step 4: Simplify right side
    16.05x = 277.07
  5. Step 5: Solve for x
    x = 277.07/16.05
  6. Step 6: Final answer
    x = 17.26

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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.