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Finding the Fourth Proportional to 31.88, 47.60 and 31.46

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Solution

The fourth proportional to 31.88, 47.60 and 31.46 is: 46.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.88 : 47.60 = 31.46 : x
  2. Step 2: Convert to fraction form
    31.88/47.60 = 31.46/x
  3. Step 3: Cross multiply
    31.88x = 47.60 × 31.46
  4. Step 4: Simplify right side
    31.88x = 1,497.50
  5. Step 5: Solve for x
    x = 1,497.50/31.88
  6. Step 6: Final answer
    x = 46.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.