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Finding the Fourth Proportional to 137.30, 205.95 and 41.11

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Solution

The fourth proportional to 137.30, 205.95 and 41.11 is: 61.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.30 : 205.95 = 41.11 : x
  2. Step 2: Convert to fraction form
    137.30/205.95 = 41.11/x
  3. Step 3: Cross multiply
    137.30x = 205.95 × 41.11
  4. Step 4: Simplify right side
    137.30x = 8,466.32
  5. Step 5: Solve for x
    x = 8,466.32/137.30
  6. Step 6: Final answer
    x = 61.66

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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.