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Finding the Fourth Proportional to 70.91, 106.26 and 34.77

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Solution

The fourth proportional to 70.91, 106.26 and 34.77 is: 52.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.91 : 106.26 = 34.77 : x
  2. Step 2: Convert to fraction form
    70.91/106.26 = 34.77/x
  3. Step 3: Cross multiply
    70.91x = 106.26 × 34.77
  4. Step 4: Simplify right side
    70.91x = 3,694.66
  5. Step 5: Solve for x
    x = 3,694.66/70.91
  6. Step 6: Final answer
    x = 52.10

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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.