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Finding the Fourth Proportional to 100.53, 138.57 and 82.14

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Solution

The fourth proportional to 100.53, 138.57 and 82.14 is: 113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.53 : 138.57 = 82.14 : x
  2. Step 2: Convert to fraction form
    100.53/138.57 = 82.14/x
  3. Step 3: Cross multiply
    100.53x = 138.57 × 82.14
  4. Step 4: Simplify right side
    100.53x = 11,382.14
  5. Step 5: Solve for x
    x = 11,382.14/100.53
  6. Step 6: Final answer
    x = 113.22

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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.