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Finding the Fourth Proportional to 31.86, 47.79 and 17.37

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Solution

The fourth proportional to 31.86, 47.79 and 17.37 is: 26.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.86 : 47.79 = 17.37 : x
  2. Step 2: Convert to fraction form
    31.86/47.79 = 17.37/x
  3. Step 3: Cross multiply
    31.86x = 47.79 × 17.37
  4. Step 4: Simplify right side
    31.86x = 830.11
  5. Step 5: Solve for x
    x = 830.11/31.86
  6. Step 6: Final answer
    x = 26.06

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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.