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Finding the Fourth Proportional to 109.42, 164.10 and 32.37

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Solution

The fourth proportional to 109.42, 164.10 and 32.37 is: 48.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.42 : 164.10 = 32.37 : x
  2. Step 2: Convert to fraction form
    109.42/164.10 = 32.37/x
  3. Step 3: Cross multiply
    109.42x = 164.10 × 32.37
  4. Step 4: Simplify right side
    109.42x = 5,311.92
  5. Step 5: Solve for x
    x = 5,311.92/109.42
  6. Step 6: Final answer
    x = 48.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.