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Finding the Fourth Proportional to 137.80, 190.14 and 88.05

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Solution

The fourth proportional to 137.80, 190.14 and 88.05 is: 121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.80 : 190.14 = 88.05 : x
  2. Step 2: Convert to fraction form
    137.80/190.14 = 88.05/x
  3. Step 3: Cross multiply
    137.80x = 190.14 × 88.05
  4. Step 4: Simplify right side
    137.80x = 16,741.50
  5. Step 5: Solve for x
    x = 16,741.50/137.80
  6. Step 6: Final answer
    x = 121.49

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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.