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Finding the Fourth Proportional to 137.63, 189.92 and 75.46

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Solution

The fourth proportional to 137.63, 189.92 and 75.46 is: 104.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.63 : 189.92 = 75.46 : x
  2. Step 2: Convert to fraction form
    137.63/189.92 = 75.46/x
  3. Step 3: Cross multiply
    137.63x = 189.92 × 75.46
  4. Step 4: Simplify right side
    137.63x = 14,331.36
  5. Step 5: Solve for x
    x = 14,331.36/137.63
  6. Step 6: Final answer
    x = 104.13

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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.