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Finding the Fourth Proportional to 137.80, 206.78 and 65.66

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Solution

The fourth proportional to 137.80, 206.78 and 65.66 is: 98.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.80 : 206.78 = 65.66 : x
  2. Step 2: Convert to fraction form
    137.80/206.78 = 65.66/x
  3. Step 3: Cross multiply
    137.80x = 206.78 × 65.66
  4. Step 4: Simplify right side
    137.80x = 13,577.17
  5. Step 5: Solve for x
    x = 13,577.17/137.80
  6. Step 6: Final answer
    x = 98.53

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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.