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Finding the Fourth Proportional to 100.54, 138.54 and 82.99

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Solution

The fourth proportional to 100.54, 138.54 and 82.99 is: 114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.54 : 138.54 = 82.99 : x
  2. Step 2: Convert to fraction form
    100.54/138.54 = 82.99/x
  3. Step 3: Cross multiply
    100.54x = 138.54 × 82.99
  4. Step 4: Simplify right side
    100.54x = 11,497.43
  5. Step 5: Solve for x
    x = 11,497.43/100.54
  6. Step 6: Final answer
    x = 114.36

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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.