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Finding the Fourth Proportional to 137.30, 206.04 and 65.21

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Solution

The fourth proportional to 137.30, 206.04 and 65.21 is: 97.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.30 : 206.04 = 65.21 : x
  2. Step 2: Convert to fraction form
    137.30/206.04 = 65.21/x
  3. Step 3: Cross multiply
    137.30x = 206.04 × 65.21
  4. Step 4: Simplify right side
    137.30x = 13,435.08
  5. Step 5: Solve for x
    x = 13,435.08/137.30
  6. Step 6: Final answer
    x = 97.86

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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.