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Finding the Fourth Proportional to 147.49, 203.54 and 82.00

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Solution

The fourth proportional to 147.49, 203.54 and 82.00 is: 113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.49 : 203.54 = 82.00 : x
  2. Step 2: Convert to fraction form
    147.49/203.54 = 82.00/x
  3. Step 3: Cross multiply
    147.49x = 203.54 × 82.00
  4. Step 4: Simplify right side
    147.49x = 16,688.85
  5. Step 5: Solve for x
    x = 16,688.85/147.49
  6. Step 6: Final answer
    x = 113.15

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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.