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Finding the Fourth Proportional to 147.62, 203.72 and 82.13

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Solution

The fourth proportional to 147.62, 203.72 and 82.13 is: 113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.62 : 203.72 = 82.13 : x
  2. Step 2: Convert to fraction form
    147.62/203.72 = 82.13/x
  3. Step 3: Cross multiply
    147.62x = 203.72 × 82.13
  4. Step 4: Simplify right side
    147.62x = 16,730.71
  5. Step 5: Solve for x
    x = 16,730.71/147.62
  6. Step 6: Final answer
    x = 113.33

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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.