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Finding the Fourth Proportional to 149.92, 206.94 and 94.70

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Solution

The fourth proportional to 149.92, 206.94 and 94.70 is: 130.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.92 : 206.94 = 94.70 : x
  2. Step 2: Convert to fraction form
    149.92/206.94 = 94.70/x
  3. Step 3: Cross multiply
    149.92x = 206.94 × 94.70
  4. Step 4: Simplify right side
    149.92x = 19,597.22
  5. Step 5: Solve for x
    x = 19,597.22/149.92
  6. Step 6: Final answer
    x = 130.72

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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.