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Finding the Fourth Proportional to 64.82, 89.43 and 40.26

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Solution

The fourth proportional to 64.82, 89.43 and 40.26 is: 55.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.82 : 89.43 = 40.26 : x
  2. Step 2: Convert to fraction form
    64.82/89.43 = 40.26/x
  3. Step 3: Cross multiply
    64.82x = 89.43 × 40.26
  4. Step 4: Simplify right side
    64.82x = 3,600.45
  5. Step 5: Solve for x
    x = 3,600.45/64.82
  6. Step 6: Final answer
    x = 55.55

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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.