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Finding the Fourth Proportional to 100, 137.94 and 75.43

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Solution

The fourth proportional to 100, 137.94 and 75.43 is: 104.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100 : 137.94 = 75.43 : x
  2. Step 2: Convert to fraction form
    100/137.94 = 75.43/x
  3. Step 3: Cross multiply
    100x = 137.94 × 75.43
  4. Step 4: Simplify right side
    100x = 10,404.81
  5. Step 5: Solve for x
    x = 10,404.81/100
  6. Step 6: Final answer
    x = 104.05

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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.