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Finding the Fourth Proportional to 19.93, 29.87 and 16.34

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Solution

The fourth proportional to 19.93, 29.87 and 16.34 is: 24.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.93 : 29.87 = 16.34 : x
  2. Step 2: Convert to fraction form
    19.93/29.87 = 16.34/x
  3. Step 3: Cross multiply
    19.93x = 29.87 × 16.34
  4. Step 4: Simplify right side
    19.93x = 488.19
  5. Step 5: Solve for x
    x = 488.19/19.93
  6. Step 6: Final answer
    x = 24.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.