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Finding the Fourth Proportional to 64.33, 88.68 and 49.60

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Solution

The fourth proportional to 64.33, 88.68 and 49.60 is: 68.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.33 : 88.68 = 49.60 : x
  2. Step 2: Convert to fraction form
    64.33/88.68 = 49.60/x
  3. Step 3: Cross multiply
    64.33x = 88.68 × 49.60
  4. Step 4: Simplify right side
    64.33x = 4,398.08
  5. Step 5: Solve for x
    x = 4,398.08/64.33
  6. Step 6: Final answer
    x = 68.37

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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.