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Finding the Fourth Proportional to 137.12, 205.64 and 45.80

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Solution

The fourth proportional to 137.12, 205.64 and 45.80 is: 68.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.12 : 205.64 = 45.80 : x
  2. Step 2: Convert to fraction form
    137.12/205.64 = 45.80/x
  3. Step 3: Cross multiply
    137.12x = 205.64 × 45.80
  4. Step 4: Simplify right side
    137.12x = 9,418.31
  5. Step 5: Solve for x
    x = 9,418.31/137.12
  6. Step 6: Final answer
    x = 68.69

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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.