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Finding the Fourth Proportional to 148.85, 205.06 and 107.13

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Solution

The fourth proportional to 148.85, 205.06 and 107.13 is: 147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.85 : 205.06 = 107.13 : x
  2. Step 2: Convert to fraction form
    148.85/205.06 = 107.13/x
  3. Step 3: Cross multiply
    148.85x = 205.06 × 107.13
  4. Step 4: Simplify right side
    148.85x = 21,968.08
  5. Step 5: Solve for x
    x = 21,968.08/148.85
  6. Step 6: Final answer
    x = 147.59

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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.