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Finding the Fourth Proportional to 109.86, 164.00 and 96.20

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Solution

The fourth proportional to 109.86, 164.00 and 96.20 is: 143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.86 : 164.00 = 96.20 : x
  2. Step 2: Convert to fraction form
    109.86/164.00 = 96.20/x
  3. Step 3: Cross multiply
    109.86x = 164.00 × 96.20
  4. Step 4: Simplify right side
    109.86x = 15,775.50
  5. Step 5: Solve for x
    x = 15,775.50/109.86
  6. Step 6: Final answer
    x = 143.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.