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Finding the Fourth Proportional to 100.01, 138.01 and 58.57

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Solution

The fourth proportional to 100.01, 138.01 and 58.57 is: 80.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.01 : 138.01 = 58.57 : x
  2. Step 2: Convert to fraction form
    100.01/138.01 = 58.57/x
  3. Step 3: Cross multiply
    100.01x = 138.01 × 58.57
  4. Step 4: Simplify right side
    100.01x = 8,082.75
  5. Step 5: Solve for x
    x = 8,082.75/100.01
  6. Step 6: Final answer
    x = 80.82

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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.