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Finding the Fourth Proportional to 109.93, 164.89 and 32.90

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Solution

The fourth proportional to 109.93, 164.89 and 32.90 is: 49.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.93 : 164.89 = 32.90 : x
  2. Step 2: Convert to fraction form
    109.93/164.89 = 32.90/x
  3. Step 3: Cross multiply
    109.93x = 164.89 × 32.90
  4. Step 4: Simplify right side
    109.93x = 5,424.88
  5. Step 5: Solve for x
    x = 5,424.88/109.93
  6. Step 6: Final answer
    x = 49.35

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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.