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Finding the Fourth Proportional to 100.08, 138.09 and 58.05

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Solution

The fourth proportional to 100.08, 138.09 and 58.05 is: 80.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.08 : 138.09 = 58.05 : x
  2. Step 2: Convert to fraction form
    100.08/138.09 = 58.05/x
  3. Step 3: Cross multiply
    100.08x = 138.09 × 58.05
  4. Step 4: Simplify right side
    100.08x = 8,016.12
  5. Step 5: Solve for x
    x = 8,016.12/100.08
  6. Step 6: Final answer
    x = 80.10

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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.