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Finding the Fourth Proportional to 137.76, 206.64 and 46.47

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Solution

The fourth proportional to 137.76, 206.64 and 46.47 is: 69.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.76 : 206.64 = 46.47 : x
  2. Step 2: Convert to fraction form
    137.76/206.64 = 46.47/x
  3. Step 3: Cross multiply
    137.76x = 206.64 × 46.47
  4. Step 4: Simplify right side
    137.76x = 9,602.56
  5. Step 5: Solve for x
    x = 9,602.56/137.76
  6. Step 6: Final answer
    x = 69.71

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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.