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Finding the Fourth Proportional to 16.45, 24.57 and 11.93

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Solution

The fourth proportional to 16.45, 24.57 and 11.93 is: 17.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.45 : 24.57 = 11.93 : x
  2. Step 2: Convert to fraction form
    16.45/24.57 = 11.93/x
  3. Step 3: Cross multiply
    16.45x = 24.57 × 11.93
  4. Step 4: Simplify right side
    16.45x = 293.12
  5. Step 5: Solve for x
    x = 293.12/16.45
  6. Step 6: Final answer
    x = 17.82

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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.