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Finding the Fourth Proportional to 100.36, 138.48 and 74.56

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Solution

The fourth proportional to 100.36, 138.48 and 74.56 is: 102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.36 : 138.48 = 74.56 : x
  2. Step 2: Convert to fraction form
    100.36/138.48 = 74.56/x
  3. Step 3: Cross multiply
    100.36x = 138.48 × 74.56
  4. Step 4: Simplify right side
    100.36x = 10,325.07
  5. Step 5: Solve for x
    x = 10,325.07/100.36
  6. Step 6: Final answer
    x = 102.88

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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.