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Finding the Fourth Proportional to 137.15, 205.72 and 39.66

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Solution

The fourth proportional to 137.15, 205.72 and 39.66 is: 59.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.15 : 205.72 = 39.66 : x
  2. Step 2: Convert to fraction form
    137.15/205.72 = 39.66/x
  3. Step 3: Cross multiply
    137.15x = 205.72 × 39.66
  4. Step 4: Simplify right side
    137.15x = 8,158.86
  5. Step 5: Solve for x
    x = 8,158.86/137.15
  6. Step 6: Final answer
    x = 59.49

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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.