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Finding the Fourth Proportional to 64.22, 88.61 and 36.59

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Solution

The fourth proportional to 64.22, 88.61 and 36.59 is: 50.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.22 : 88.61 = 36.59 : x
  2. Step 2: Convert to fraction form
    64.22/88.61 = 36.59/x
  3. Step 3: Cross multiply
    64.22x = 88.61 × 36.59
  4. Step 4: Simplify right side
    64.22x = 3,241.61
  5. Step 5: Solve for x
    x = 3,241.61/64.22
  6. Step 6: Final answer
    x = 50.48

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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.