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Finding the Fourth Proportional to 109.96, 164.03 and 101.86

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Solution

The fourth proportional to 109.96, 164.03 and 101.86 is: 151.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.96 : 164.03 = 101.86 : x
  2. Step 2: Convert to fraction form
    109.96/164.03 = 101.86/x
  3. Step 3: Cross multiply
    109.96x = 164.03 × 101.86
  4. Step 4: Simplify right side
    109.96x = 16,708.10
  5. Step 5: Solve for x
    x = 16,708.10/109.96
  6. Step 6: Final answer
    x = 151.95

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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.