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Finding the Fourth Proportional to 137.64, 206.49 and 46.31

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Solution

The fourth proportional to 137.64, 206.49 and 46.31 is: 69.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.64 : 206.49 = 46.31 : x
  2. Step 2: Convert to fraction form
    137.64/206.49 = 46.31/x
  3. Step 3: Cross multiply
    137.64x = 206.49 × 46.31
  4. Step 4: Simplify right side
    137.64x = 9,562.51
  5. Step 5: Solve for x
    x = 9,562.51/137.64
  6. Step 6: Final answer
    x = 69.48

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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.