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Finding the Fourth Proportional to 149.88, 206.94 and 97.45

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Solution

The fourth proportional to 149.88, 206.94 and 97.45 is: 134.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.88 : 206.94 = 97.45 : x
  2. Step 2: Convert to fraction form
    149.88/206.94 = 97.45/x
  3. Step 3: Cross multiply
    149.88x = 206.94 × 97.45
  4. Step 4: Simplify right side
    149.88x = 20,165.60
  5. Step 5: Solve for x
    x = 20,165.60/149.88
  6. Step 6: Final answer
    x = 134.55

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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.