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Finding the Fourth Proportional to 149.93, 206.83 and 87.72

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Solution

The fourth proportional to 149.93, 206.83 and 87.72 is: 121.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.93 : 206.83 = 87.72 : x
  2. Step 2: Convert to fraction form
    149.93/206.83 = 87.72/x
  3. Step 3: Cross multiply
    149.93x = 206.83 × 87.72
  4. Step 4: Simplify right side
    149.93x = 18,142.99
  5. Step 5: Solve for x
    x = 18,142.99/149.93
  6. Step 6: Final answer
    x = 121.01

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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.