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Finding the Fourth Proportional to 137.93, 190.34 and 75.76

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Solution

The fourth proportional to 137.93, 190.34 and 75.76 is: 104.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.93 : 190.34 = 75.76 : x
  2. Step 2: Convert to fraction form
    137.93/190.34 = 75.76/x
  3. Step 3: Cross multiply
    137.93x = 190.34 × 75.76
  4. Step 4: Simplify right side
    137.93x = 14,419.78
  5. Step 5: Solve for x
    x = 14,419.78/137.93
  6. Step 6: Final answer
    x = 104.55

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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.