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Finding the Fourth Proportional to 148.09, 204.05 and 106.58

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Solution

The fourth proportional to 148.09, 204.05 and 106.58 is: 146.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.09 : 204.05 = 106.58 : x
  2. Step 2: Convert to fraction form
    148.09/204.05 = 106.58/x
  3. Step 3: Cross multiply
    148.09x = 204.05 × 106.58
  4. Step 4: Simplify right side
    148.09x = 21,747.12
  5. Step 5: Solve for x
    x = 21,747.12/148.09
  6. Step 6: Final answer
    x = 146.86

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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.