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Finding the Fourth Proportional to 50.91, 70.25 and 29.09

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Solution

The fourth proportional to 50.91, 70.25 and 29.09 is: 40.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.91 : 70.25 = 29.09 : x
  2. Step 2: Convert to fraction form
    50.91/70.25 = 29.09/x
  3. Step 3: Cross multiply
    50.91x = 70.25 × 29.09
  4. Step 4: Simplify right side
    50.91x = 2,043.08
  5. Step 5: Solve for x
    x = 2,043.08/50.91
  6. Step 6: Final answer
    x = 40.13

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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.