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Finding the Fourth Proportional to 19.95, 29.94 and 9.82

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Solution

The fourth proportional to 19.95, 29.94 and 9.82 is: 14.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.95 : 29.94 = 9.82 : x
  2. Step 2: Convert to fraction form
    19.95/29.94 = 9.82/x
  3. Step 3: Cross multiply
    19.95x = 29.94 × 9.82
  4. Step 4: Simplify right side
    19.95x = 294.01
  5. Step 5: Solve for x
    x = 294.01/19.95
  6. Step 6: Final answer
    x = 14.74

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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.