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Finding the Fourth Proportional to 109.90, 164.36 and 64.14

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Solution

The fourth proportional to 109.90, 164.36 and 64.14 is: 95.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.90 : 164.36 = 64.14 : x
  2. Step 2: Convert to fraction form
    109.90/164.36 = 64.14/x
  3. Step 3: Cross multiply
    109.90x = 164.36 × 64.14
  4. Step 4: Simplify right side
    109.90x = 10,542.05
  5. Step 5: Solve for x
    x = 10,542.05/109.90
  6. Step 6: Final answer
    x = 95.92

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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.