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Finding the Fourth Proportional to 137.65, 189.96 and 75.48

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Solution

The fourth proportional to 137.65, 189.96 and 75.48 is: 104.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.65 : 189.96 = 75.48 : x
  2. Step 2: Convert to fraction form
    137.65/189.96 = 75.48/x
  3. Step 3: Cross multiply
    137.65x = 189.96 × 75.48
  4. Step 4: Simplify right side
    137.65x = 14,339.18
  5. Step 5: Solve for x
    x = 14,339.18/137.65
  6. Step 6: Final answer
    x = 104.17

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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.