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Finding the Fourth Proportional to 31.86, 47.82 and 11.59

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Solution

The fourth proportional to 31.86, 47.82 and 11.59 is: 17.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.86 : 47.82 = 11.59 : x
  2. Step 2: Convert to fraction form
    31.86/47.82 = 11.59/x
  3. Step 3: Cross multiply
    31.86x = 47.82 × 11.59
  4. Step 4: Simplify right side
    31.86x = 554.23
  5. Step 5: Solve for x
    x = 554.23/31.86
  6. Step 6: Final answer
    x = 17.40

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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.