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Finding the Fourth Proportional to 148.96, 205.74 and 116.36

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Solution

The fourth proportional to 148.96, 205.74 and 116.36 is: 160.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.96 : 205.74 = 116.36 : x
  2. Step 2: Convert to fraction form
    148.96/205.74 = 116.36/x
  3. Step 3: Cross multiply
    148.96x = 205.74 × 116.36
  4. Step 4: Simplify right side
    148.96x = 23,939.91
  5. Step 5: Solve for x
    x = 23,939.91/148.96
  6. Step 6: Final answer
    x = 160.71

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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.