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Finding the Fourth Proportional to 148.86, 205.34 and 107.35

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Solution

The fourth proportional to 148.86, 205.34 and 107.35 is: 148.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.86 : 205.34 = 107.35 : x
  2. Step 2: Convert to fraction form
    148.86/205.34 = 107.35/x
  3. Step 3: Cross multiply
    148.86x = 205.34 × 107.35
  4. Step 4: Simplify right side
    148.86x = 22,042.78
  5. Step 5: Solve for x
    x = 22,042.78/148.86
  6. Step 6: Final answer
    x = 148.07

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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.