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Finding the Fourth Proportional to 147.26, 203 and 105.78

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Solution

The fourth proportional to 147.26, 203 and 105.78 is: 145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.26 : 203 = 105.78 : x
  2. Step 2: Convert to fraction form
    147.26/203 = 105.78/x
  3. Step 3: Cross multiply
    147.26x = 203 × 105.78
  4. Step 4: Simplify right side
    147.26x = 21,473.34
  5. Step 5: Solve for x
    x = 21,473.34/147.26
  6. Step 6: Final answer
    x = 145.82

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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.