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Finding the Fourth Proportional to 149.07, 205.74 and 83.60

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Solution

The fourth proportional to 149.07, 205.74 and 83.60 is: 115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.07 : 205.74 = 83.60 : x
  2. Step 2: Convert to fraction form
    149.07/205.74 = 83.60/x
  3. Step 3: Cross multiply
    149.07x = 205.74 × 83.60
  4. Step 4: Simplify right side
    149.07x = 17,199.61
  5. Step 5: Solve for x
    x = 17,199.61/149.07
  6. Step 6: Final answer
    x = 115.38

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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.