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Finding the Fourth Proportional to 70.92, 106.31 and 32.42

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Solution

The fourth proportional to 70.92, 106.31 and 32.42 is: 48.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.92 : 106.31 = 32.42 : x
  2. Step 2: Convert to fraction form
    70.92/106.31 = 32.42/x
  3. Step 3: Cross multiply
    70.92x = 106.31 × 32.42
  4. Step 4: Simplify right side
    70.92x = 3,445.88
  5. Step 5: Solve for x
    x = 3,445.88/70.92
  6. Step 6: Final answer
    x = 48.59

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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.