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Finding the Fourth Proportional to 137.88, 190.32 and 79.72

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Solution

The fourth proportional to 137.88, 190.32 and 79.72 is: 110.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.88 : 190.32 = 79.72 : x
  2. Step 2: Convert to fraction form
    137.88/190.32 = 79.72/x
  3. Step 3: Cross multiply
    137.88x = 190.32 × 79.72
  4. Step 4: Simplify right side
    137.88x = 15,172.31
  5. Step 5: Solve for x
    x = 15,172.31/137.88
  6. Step 6: Final answer
    x = 110.04

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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.