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Finding the Fourth Proportional to 137.34, 206.00 and 34.62

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Solution

The fourth proportional to 137.34, 206.00 and 34.62 is: 51.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.34 : 206.00 = 34.62 : x
  2. Step 2: Convert to fraction form
    137.34/206.00 = 34.62/x
  3. Step 3: Cross multiply
    137.34x = 206.00 × 34.62
  4. Step 4: Simplify right side
    137.34x = 7,132.32
  5. Step 5: Solve for x
    x = 7,132.32/137.34
  6. Step 6: Final answer
    x = 51.93

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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.