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Finding the Fourth Proportional to 149.07, 205.52 and 105.33

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Solution

The fourth proportional to 149.07, 205.52 and 105.33 is: 145.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.07 : 205.52 = 105.33 : x
  2. Step 2: Convert to fraction form
    149.07/205.52 = 105.33/x
  3. Step 3: Cross multiply
    149.07x = 205.52 × 105.33
  4. Step 4: Simplify right side
    149.07x = 21,646.89
  5. Step 5: Solve for x
    x = 21,646.89/149.07
  6. Step 6: Final answer
    x = 145.21

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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.