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Finding the Fourth Proportional to 100.37, 138.45 and 67.56

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Solution

The fourth proportional to 100.37, 138.45 and 67.56 is: 93.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.37 : 138.45 = 67.56 : x
  2. Step 2: Convert to fraction form
    100.37/138.45 = 67.56/x
  3. Step 3: Cross multiply
    100.37x = 138.45 × 67.56
  4. Step 4: Simplify right side
    100.37x = 9,353.94
  5. Step 5: Solve for x
    x = 9,353.94/100.37
  6. Step 6: Final answer
    x = 93.20

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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.