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Finding the Fourth Proportional to 148.92, 205.59 and 105.39

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Solution

The fourth proportional to 148.92, 205.59 and 105.39 is: 145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.92 : 205.59 = 105.39 : x
  2. Step 2: Convert to fraction form
    148.92/205.59 = 105.39/x
  3. Step 3: Cross multiply
    148.92x = 205.59 × 105.39
  4. Step 4: Simplify right side
    148.92x = 21,667.13
  5. Step 5: Solve for x
    x = 21,667.13/148.92
  6. Step 6: Final answer
    x = 145.50

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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.