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Finding the Fourth Proportional to 137.62, 206.29 and 56.49

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Solution

The fourth proportional to 137.62, 206.29 and 56.49 is: 84.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.62 : 206.29 = 56.49 : x
  2. Step 2: Convert to fraction form
    137.62/206.29 = 56.49/x
  3. Step 3: Cross multiply
    137.62x = 206.29 × 56.49
  4. Step 4: Simplify right side
    137.62x = 11,653.32
  5. Step 5: Solve for x
    x = 11,653.32/137.62
  6. Step 6: Final answer
    x = 84.68

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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.