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Finding the Fourth Proportional to 51.35, 70.85 and 31.94

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Solution

The fourth proportional to 51.35, 70.85 and 31.94 is: 44.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.35 : 70.85 = 31.94 : x
  2. Step 2: Convert to fraction form
    51.35/70.85 = 31.94/x
  3. Step 3: Cross multiply
    51.35x = 70.85 × 31.94
  4. Step 4: Simplify right side
    51.35x = 2,262.95
  5. Step 5: Solve for x
    x = 2,262.95/51.35
  6. Step 6: Final answer
    x = 44.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.