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Finding the Fourth Proportional to 109.90, 164.96 and 98.32

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Solution

The fourth proportional to 109.90, 164.96 and 98.32 is: 147.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.90 : 164.96 = 98.32 : x
  2. Step 2: Convert to fraction form
    109.90/164.96 = 98.32/x
  3. Step 3: Cross multiply
    109.90x = 164.96 × 98.32
  4. Step 4: Simplify right side
    109.90x = 16,218.87
  5. Step 5: Solve for x
    x = 16,218.87/109.90
  6. Step 6: Final answer
    x = 147.58

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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.