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Finding the Fourth Proportional to 148.82, 205.13 and 105.08

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Solution

The fourth proportional to 148.82, 205.13 and 105.08 is: 144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.82 : 205.13 = 105.08 : x
  2. Step 2: Convert to fraction form
    148.82/205.13 = 105.08/x
  3. Step 3: Cross multiply
    148.82x = 205.13 × 105.08
  4. Step 4: Simplify right side
    148.82x = 21,554.30
  5. Step 5: Solve for x
    x = 21,554.30/148.82
  6. Step 6: Final answer
    x = 144.84

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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.