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Finding the Fourth Proportional to 70.71, 106.13 and 32.21

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Solution

The fourth proportional to 70.71, 106.13 and 32.21 is: 48.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.71 : 106.13 = 32.21 : x
  2. Step 2: Convert to fraction form
    70.71/106.13 = 32.21/x
  3. Step 3: Cross multiply
    70.71x = 106.13 × 32.21
  4. Step 4: Simplify right side
    70.71x = 3,418.81
  5. Step 5: Solve for x
    x = 3,418.81/70.71
  6. Step 6: Final answer
    x = 48.35

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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.