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Finding the Fourth Proportional to 147.25, 203.21 and 84.24

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Solution

The fourth proportional to 147.25, 203.21 and 84.24 is: 116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.25 : 203.21 = 84.24 : x
  2. Step 2: Convert to fraction form
    147.25/203.21 = 84.24/x
  3. Step 3: Cross multiply
    147.25x = 203.21 × 84.24
  4. Step 4: Simplify right side
    147.25x = 17,118.31
  5. Step 5: Solve for x
    x = 17,118.31/147.25
  6. Step 6: Final answer
    x = 116.25

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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.