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Finding the Fourth Proportional to 31.19, 46.78 and 9.82

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Solution

The fourth proportional to 31.19, 46.78 and 9.82 is: 14.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.19 : 46.78 = 9.82 : x
  2. Step 2: Convert to fraction form
    31.19/46.78 = 9.82/x
  3. Step 3: Cross multiply
    31.19x = 46.78 × 9.82
  4. Step 4: Simplify right side
    31.19x = 459.38
  5. Step 5: Solve for x
    x = 459.38/31.19
  6. Step 6: Final answer
    x = 14.73

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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.