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Finding the Fourth Proportional to 147.53, 203.60 and 82.04

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Solution

The fourth proportional to 147.53, 203.60 and 82.04 is: 113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.53 : 203.60 = 82.04 : x
  2. Step 2: Convert to fraction form
    147.53/203.60 = 82.04/x
  3. Step 3: Cross multiply
    147.53x = 203.60 × 82.04
  4. Step 4: Simplify right side
    147.53x = 16,702.33
  5. Step 5: Solve for x
    x = 16,702.33/147.53
  6. Step 6: Final answer
    x = 113.21

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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.