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Finding the Fourth Proportional to 149.05, 205.59 and 109.72

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Solution

The fourth proportional to 149.05, 205.59 and 109.72 is: 151.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.05 : 205.59 = 109.72 : x
  2. Step 2: Convert to fraction form
    149.05/205.59 = 109.72/x
  3. Step 3: Cross multiply
    149.05x = 205.59 × 109.72
  4. Step 4: Simplify right side
    149.05x = 22,557.33
  5. Step 5: Solve for x
    x = 22,557.33/149.05
  6. Step 6: Final answer
    x = 151.34

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