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Finding the Fourth Proportional to 47.30, 70.79 and 31.98

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Solution

The fourth proportional to 47.30, 70.79 and 31.98 is: 47.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.30 : 70.79 = 31.98 : x
  2. Step 2: Convert to fraction form
    47.30/70.79 = 31.98/x
  3. Step 3: Cross multiply
    47.30x = 70.79 × 31.98
  4. Step 4: Simplify right side
    47.30x = 2,263.70
  5. Step 5: Solve for x
    x = 2,263.70/47.30
  6. Step 6: Final answer
    x = 47.86

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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.