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Finding the Fourth Proportional to 109.53, 164.31 and 32.48

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Solution

The fourth proportional to 109.53, 164.31 and 32.48 is: 48.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.53 : 164.31 = 32.48 : x
  2. Step 2: Convert to fraction form
    109.53/164.31 = 32.48/x
  3. Step 3: Cross multiply
    109.53x = 164.31 × 32.48
  4. Step 4: Simplify right side
    109.53x = 5,336.46
  5. Step 5: Solve for x
    x = 5,336.46/109.53
  6. Step 6: Final answer
    x = 48.72

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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.