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Finding the Fourth Proportional to 149.40, 206.22 and 96.98

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Solution

The fourth proportional to 149.40, 206.22 and 96.98 is: 133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.40 : 206.22 = 96.98 : x
  2. Step 2: Convert to fraction form
    149.40/206.22 = 96.98/x
  3. Step 3: Cross multiply
    149.40x = 206.22 × 96.98
  4. Step 4: Simplify right side
    149.40x = 19,999.22
  5. Step 5: Solve for x
    x = 19,999.22/149.40
  6. Step 6: Final answer
    x = 133.86

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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.