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Finding the Fourth Proportional to 100.14, 138.12 and 78.02

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Solution

The fourth proportional to 100.14, 138.12 and 78.02 is: 107.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.14 : 138.12 = 78.02 : x
  2. Step 2: Convert to fraction form
    100.14/138.12 = 78.02/x
  3. Step 3: Cross multiply
    100.14x = 138.12 × 78.02
  4. Step 4: Simplify right side
    100.14x = 10,776.12
  5. Step 5: Solve for x
    x = 10,776.12/100.14
  6. Step 6: Final answer
    x = 107.61

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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.