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Finding the Fourth Proportional to 147.85, 203.94 and 106.49

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Solution

The fourth proportional to 147.85, 203.94 and 106.49 is: 146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.85 : 203.94 = 106.49 : x
  2. Step 2: Convert to fraction form
    147.85/203.94 = 106.49/x
  3. Step 3: Cross multiply
    147.85x = 203.94 × 106.49
  4. Step 4: Simplify right side
    147.85x = 21,718.08
  5. Step 5: Solve for x
    x = 21,718.08/147.85
  6. Step 6: Final answer
    x = 146.90

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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.