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Finding the Fourth Proportional to 100.41, 138.74 and 96.63

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Solution

The fourth proportional to 100.41, 138.74 and 96.63 is: 133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.41 : 138.74 = 96.63 : x
  2. Step 2: Convert to fraction form
    100.41/138.74 = 96.63/x
  3. Step 3: Cross multiply
    100.41x = 138.74 × 96.63
  4. Step 4: Simplify right side
    100.41x = 13,406.45
  5. Step 5: Solve for x
    x = 13,406.45/100.41
  6. Step 6: Final answer
    x = 133.52

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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.