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Finding the Fourth Proportional to 49.70, 68.52 and 31.26

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Solution

The fourth proportional to 49.70, 68.52 and 31.26 is: 43.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.70 : 68.52 = 31.26 : x
  2. Step 2: Convert to fraction form
    49.70/68.52 = 31.26/x
  3. Step 3: Cross multiply
    49.70x = 68.52 × 31.26
  4. Step 4: Simplify right side
    49.70x = 2,141.94
  5. Step 5: Solve for x
    x = 2,141.94/49.70
  6. Step 6: Final answer
    x = 43.10

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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.