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Finding the Fourth Proportional to 137.79, 188.91 and 134.35

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Solution

The fourth proportional to 137.79, 188.91 and 134.35 is: 184.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.79 : 188.91 = 134.35 : x
  2. Step 2: Convert to fraction form
    137.79/188.91 = 134.35/x
  3. Step 3: Cross multiply
    137.79x = 188.91 × 134.35
  4. Step 4: Simplify right side
    137.79x = 25,379.59
  5. Step 5: Solve for x
    x = 25,379.59/137.79
  6. Step 6: Final answer
    x = 184.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.