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Finding the Fourth Proportional to 109.83, 151.90 and 108.01

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Solution

The fourth proportional to 109.83, 151.90 and 108.01 is: 149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.83 : 151.90 = 108.01 : x
  2. Step 2: Convert to fraction form
    109.83/151.90 = 108.01/x
  3. Step 3: Cross multiply
    109.83x = 151.90 × 108.01
  4. Step 4: Simplify right side
    109.83x = 16,406.72
  5. Step 5: Solve for x
    x = 16,406.72/109.83
  6. Step 6: Final answer
    x = 149.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.