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Finding the Fourth Proportional to 149.87, 206.74 and 100.75

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Solution

The fourth proportional to 149.87, 206.74 and 100.75 is: 138.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.87 : 206.74 = 100.75 : x
  2. Step 2: Convert to fraction form
    149.87/206.74 = 100.75/x
  3. Step 3: Cross multiply
    149.87x = 206.74 × 100.75
  4. Step 4: Simplify right side
    149.87x = 20,829.06
  5. Step 5: Solve for x
    x = 20,829.06/149.87
  6. Step 6: Final answer
    x = 138.98

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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.