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Finding the Fourth Proportional to 137, 205.64 and 76.18

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Solution

The fourth proportional to 137, 205.64 and 76.18 is: 114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137 : 205.64 = 76.18 : x
  2. Step 2: Convert to fraction form
    137/205.64 = 76.18/x
  3. Step 3: Cross multiply
    137x = 205.64 × 76.18
  4. Step 4: Simplify right side
    137x = 15,665.66
  5. Step 5: Solve for x
    x = 15,665.66/137
  6. Step 6: Final answer
    x = 114.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.