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Finding the Fourth Proportional to 137.78, 190.29 and 86.06

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Solution

The fourth proportional to 137.78, 190.29 and 86.06 is: 118.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.78 : 190.29 = 86.06 : x
  2. Step 2: Convert to fraction form
    137.78/190.29 = 86.06/x
  3. Step 3: Cross multiply
    137.78x = 190.29 × 86.06
  4. Step 4: Simplify right side
    137.78x = 16,376.51
  5. Step 5: Solve for x
    x = 16,376.51/137.78
  6. Step 6: Final answer
    x = 118.86

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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.