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Finding the Fourth Proportional to 31.63, 47.46 and 17.38

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Solution

The fourth proportional to 31.63, 47.46 and 17.38 is: 26.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.63 : 47.46 = 17.38 : x
  2. Step 2: Convert to fraction form
    31.63/47.46 = 17.38/x
  3. Step 3: Cross multiply
    31.63x = 47.46 × 17.38
  4. Step 4: Simplify right side
    31.63x = 824.85
  5. Step 5: Solve for x
    x = 824.85/31.63
  6. Step 6: Final answer
    x = 26.08

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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.