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Finding the Fourth Proportional to 137.88, 206.86 and 65.64

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Solution

The fourth proportional to 137.88, 206.86 and 65.64 is: 98.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.88 : 206.86 = 65.64 : x
  2. Step 2: Convert to fraction form
    137.88/206.86 = 65.64/x
  3. Step 3: Cross multiply
    137.88x = 206.86 × 65.64
  4. Step 4: Simplify right side
    137.88x = 13,578.29
  5. Step 5: Solve for x
    x = 13,578.29/137.88
  6. Step 6: Final answer
    x = 98.48

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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.