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Finding the Fourth Proportional to 148.86, 205.38 and 105.18

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Solution

The fourth proportional to 148.86, 205.38 and 105.18 is: 145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.86 : 205.38 = 105.18 : x
  2. Step 2: Convert to fraction form
    148.86/205.38 = 105.18/x
  3. Step 3: Cross multiply
    148.86x = 205.38 × 105.18
  4. Step 4: Simplify right side
    148.86x = 21,601.87
  5. Step 5: Solve for x
    x = 21,601.87/148.86
  6. Step 6: Final answer
    x = 145.12

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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.