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Finding the Fourth Proportional to 31.30, 46.90 and 17.77

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Solution

The fourth proportional to 31.30, 46.90 and 17.77 is: 26.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.30 : 46.90 = 17.77 : x
  2. Step 2: Convert to fraction form
    31.30/46.90 = 17.77/x
  3. Step 3: Cross multiply
    31.30x = 46.90 × 17.77
  4. Step 4: Simplify right side
    31.30x = 833.41
  5. Step 5: Solve for x
    x = 833.41/31.30
  6. Step 6: Final answer
    x = 26.63

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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.