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Finding the Fourth Proportional to 148.78, 205.43 and 105.24

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Solution

The fourth proportional to 148.78, 205.43 and 105.24 is: 145.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.78 : 205.43 = 105.24 : x
  2. Step 2: Convert to fraction form
    148.78/205.43 = 105.24/x
  3. Step 3: Cross multiply
    148.78x = 205.43 × 105.24
  4. Step 4: Simplify right side
    148.78x = 21,619.45
  5. Step 5: Solve for x
    x = 21,619.45/148.78
  6. Step 6: Final answer
    x = 145.31

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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.