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Finding the Fourth Proportional to 137.65, 189.78 and 93.91

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Solution

The fourth proportional to 137.65, 189.78 and 93.91 is: 129.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.65 : 189.78 = 93.91 : x
  2. Step 2: Convert to fraction form
    137.65/189.78 = 93.91/x
  3. Step 3: Cross multiply
    137.65x = 189.78 × 93.91
  4. Step 4: Simplify right side
    137.65x = 17,822.24
  5. Step 5: Solve for x
    x = 17,822.24/137.65
  6. Step 6: Final answer
    x = 129.48

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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.