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Finding the Fourth Proportional to 16.78, 24.98 and 16.57

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Solution

The fourth proportional to 16.78, 24.98 and 16.57 is: 24.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.78 : 24.98 = 16.57 : x
  2. Step 2: Convert to fraction form
    16.78/24.98 = 16.57/x
  3. Step 3: Cross multiply
    16.78x = 24.98 × 16.57
  4. Step 4: Simplify right side
    16.78x = 413.92
  5. Step 5: Solve for x
    x = 413.92/16.78
  6. Step 6: Final answer
    x = 24.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.