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Finding the Fourth Proportional to 148.94, 205.46 and 96.47

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Solution

The fourth proportional to 148.94, 205.46 and 96.47 is: 133.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.94 : 205.46 = 96.47 : x
  2. Step 2: Convert to fraction form
    148.94/205.46 = 96.47/x
  3. Step 3: Cross multiply
    148.94x = 205.46 × 96.47
  4. Step 4: Simplify right side
    148.94x = 19,819.22
  5. Step 5: Solve for x
    x = 19,819.22/148.94
  6. Step 6: Final answer
    x = 133.07

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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.