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Finding the Fourth Proportional to 137.74, 205.86 and 118.60

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Solution

The fourth proportional to 137.74, 205.86 and 118.60 is: 177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.74 : 205.86 = 118.60 : x
  2. Step 2: Convert to fraction form
    137.74/205.86 = 118.60/x
  3. Step 3: Cross multiply
    137.74x = 205.86 × 118.60
  4. Step 4: Simplify right side
    137.74x = 24,415.00
  5. Step 5: Solve for x
    x = 24,415.00/137.74
  6. Step 6: Final answer
    x = 177.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.