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Finding the Fourth Proportional to 137.53, 206.36 and 97.21

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Solution

The fourth proportional to 137.53, 206.36 and 97.21 is: 145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.53 : 206.36 = 97.21 : x
  2. Step 2: Convert to fraction form
    137.53/206.36 = 97.21/x
  3. Step 3: Cross multiply
    137.53x = 206.36 × 97.21
  4. Step 4: Simplify right side
    137.53x = 20,060.26
  5. Step 5: Solve for x
    x = 20,060.26/137.53
  6. Step 6: Final answer
    x = 145.86

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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.