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Finding the Fourth Proportional to 149.72, 206.58 and 94.53

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Solution

The fourth proportional to 149.72, 206.58 and 94.53 is: 130.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.72 : 206.58 = 94.53 : x
  2. Step 2: Convert to fraction form
    149.72/206.58 = 94.53/x
  3. Step 3: Cross multiply
    149.72x = 206.58 × 94.53
  4. Step 4: Simplify right side
    149.72x = 19,527.97
  5. Step 5: Solve for x
    x = 19,527.97/149.72
  6. Step 6: Final answer
    x = 130.43

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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.