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Finding the Fourth Proportional to 109.98, 164.96 and 31.88

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Solution

The fourth proportional to 109.98, 164.96 and 31.88 is: 47.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.98 : 164.96 = 31.88 : x
  2. Step 2: Convert to fraction form
    109.98/164.96 = 31.88/x
  3. Step 3: Cross multiply
    109.98x = 164.96 × 31.88
  4. Step 4: Simplify right side
    109.98x = 5,258.92
  5. Step 5: Solve for x
    x = 5,258.92/109.98
  6. Step 6: Final answer
    x = 47.82

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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.