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Finding the Fourth Proportional to 149.27, 205.77 and 100.06

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Solution

The fourth proportional to 149.27, 205.77 and 100.06 is: 137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.27 : 205.77 = 100.06 : x
  2. Step 2: Convert to fraction form
    149.27/205.77 = 100.06/x
  3. Step 3: Cross multiply
    149.27x = 205.77 × 100.06
  4. Step 4: Simplify right side
    149.27x = 20,587.82
  5. Step 5: Solve for x
    x = 20,587.82/149.27
  6. Step 6: Final answer
    x = 137.93

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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.