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Finding the Fourth Proportional to 137.66, 190.08 and 114.32

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Solution

The fourth proportional to 137.66, 190.08 and 114.32 is: 157.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.66 : 190.08 = 114.32 : x
  2. Step 2: Convert to fraction form
    137.66/190.08 = 114.32/x
  3. Step 3: Cross multiply
    137.66x = 190.08 × 114.32
  4. Step 4: Simplify right side
    137.66x = 21,729.95
  5. Step 5: Solve for x
    x = 21,729.95/137.66
  6. Step 6: Final answer
    x = 157.85

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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.