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Finding the Fourth Proportional to 149.93, 206.85 and 90.88

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Solution

The fourth proportional to 149.93, 206.85 and 90.88 is: 125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.93 : 206.85 = 90.88 : x
  2. Step 2: Convert to fraction form
    149.93/206.85 = 90.88/x
  3. Step 3: Cross multiply
    149.93x = 206.85 × 90.88
  4. Step 4: Simplify right side
    149.93x = 18,798.79
  5. Step 5: Solve for x
    x = 18,798.79/149.93
  6. Step 6: Final answer
    x = 125.38

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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.