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Finding the Fourth Proportional to 149.10, 205.63 and 107.79

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Solution

The fourth proportional to 149.10, 205.63 and 107.79 is: 148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.10 : 205.63 = 107.79 : x
  2. Step 2: Convert to fraction form
    149.10/205.63 = 107.79/x
  3. Step 3: Cross multiply
    149.10x = 205.63 × 107.79
  4. Step 4: Simplify right side
    149.10x = 22,164.86
  5. Step 5: Solve for x
    x = 22,164.86/149.10
  6. Step 6: Final answer
    x = 148.66

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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.