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Finding the Fourth Proportional to 64.92, 89.62 and 50.34

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Solution

The fourth proportional to 64.92, 89.62 and 50.34 is: 69.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.92 : 89.62 = 50.34 : x
  2. Step 2: Convert to fraction form
    64.92/89.62 = 50.34/x
  3. Step 3: Cross multiply
    64.92x = 89.62 × 50.34
  4. Step 4: Simplify right side
    64.92x = 4,511.47
  5. Step 5: Solve for x
    x = 4,511.47/64.92
  6. Step 6: Final answer
    x = 69.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.