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Finding the Fourth Proportional to 137.06, 205.41 and 76.10

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Solution

The fourth proportional to 137.06, 205.41 and 76.10 is: 114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.06 : 205.41 = 76.10 : x
  2. Step 2: Convert to fraction form
    137.06/205.41 = 76.10/x
  3. Step 3: Cross multiply
    137.06x = 205.41 × 76.10
  4. Step 4: Simplify right side
    137.06x = 15,631.70
  5. Step 5: Solve for x
    x = 15,631.70/137.06
  6. Step 6: Final answer
    x = 114.05

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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.