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Finding the Fourth Proportional to 147.26, 203.12 and 94.82

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Solution

The fourth proportional to 147.26, 203.12 and 94.82 is: 130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.26 : 203.12 = 94.82 : x
  2. Step 2: Convert to fraction form
    147.26/203.12 = 94.82/x
  3. Step 3: Cross multiply
    147.26x = 203.12 × 94.82
  4. Step 4: Simplify right side
    147.26x = 19,259.36
  5. Step 5: Solve for x
    x = 19,259.36/147.26
  6. Step 6: Final answer
    x = 130.78

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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.