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Finding the Fourth Proportional to 70.52, 105.70 and 31.95

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Solution

The fourth proportional to 70.52, 105.70 and 31.95 is: 47.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.52 : 105.70 = 31.95 : x
  2. Step 2: Convert to fraction form
    70.52/105.70 = 31.95/x
  3. Step 3: Cross multiply
    70.52x = 105.70 × 31.95
  4. Step 4: Simplify right side
    70.52x = 3,376.76
  5. Step 5: Solve for x
    x = 3,376.76/70.52
  6. Step 6: Final answer
    x = 47.88

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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.