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Finding the Fourth Proportional to 70.66, 106.01 and 22.57

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Solution

The fourth proportional to 70.66, 106.01 and 22.57 is: 33.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.66 : 106.01 = 22.57 : x
  2. Step 2: Convert to fraction form
    70.66/106.01 = 22.57/x
  3. Step 3: Cross multiply
    70.66x = 106.01 × 22.57
  4. Step 4: Simplify right side
    70.66x = 2,392.65
  5. Step 5: Solve for x
    x = 2,392.65/70.66
  6. Step 6: Final answer
    x = 33.86

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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.