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Finding the Fourth Proportional to 137.60, 206.25 and 82.77

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Solution

The fourth proportional to 137.60, 206.25 and 82.77 is: 124.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.60 : 206.25 = 82.77 : x
  2. Step 2: Convert to fraction form
    137.60/206.25 = 82.77/x
  3. Step 3: Cross multiply
    137.60x = 206.25 × 82.77
  4. Step 4: Simplify right side
    137.60x = 17,071.39
  5. Step 5: Solve for x
    x = 17,071.39/137.60
  6. Step 6: Final answer
    x = 124.07

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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.