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Finding the Fourth Proportional to 148.45, 204.78 and 106.87

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Solution

The fourth proportional to 148.45, 204.78 and 106.87 is: 147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.45 : 204.78 = 106.87 : x
  2. Step 2: Convert to fraction form
    148.45/204.78 = 106.87/x
  3. Step 3: Cross multiply
    148.45x = 204.78 × 106.87
  4. Step 4: Simplify right side
    148.45x = 21,884.84
  5. Step 5: Solve for x
    x = 21,884.84/148.45
  6. Step 6: Final answer
    x = 147.42

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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.