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Finding the Fourth Proportional to 137.30, 189.47 and 75.13

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Solution

The fourth proportional to 137.30, 189.47 and 75.13 is: 103.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.30 : 189.47 = 75.13 : x
  2. Step 2: Convert to fraction form
    137.30/189.47 = 75.13/x
  3. Step 3: Cross multiply
    137.30x = 189.47 × 75.13
  4. Step 4: Simplify right side
    137.30x = 14,234.88
  5. Step 5: Solve for x
    x = 14,234.88/137.30
  6. Step 6: Final answer
    x = 103.68

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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.