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Finding the Fourth Proportional to 70.90, 106.31 and 32.37

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Solution

The fourth proportional to 70.90, 106.31 and 32.37 is: 48.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.90 : 106.31 = 32.37 : x
  2. Step 2: Convert to fraction form
    70.90/106.31 = 32.37/x
  3. Step 3: Cross multiply
    70.90x = 106.31 × 32.37
  4. Step 4: Simplify right side
    70.90x = 3,440.72
  5. Step 5: Solve for x
    x = 3,440.72/70.90
  6. Step 6: Final answer
    x = 48.53

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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.