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Finding the Fourth Proportional to 64.96, 89.57 and 43.09

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Solution

The fourth proportional to 64.96, 89.57 and 43.09 is: 59.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.96 : 89.57 = 43.09 : x
  2. Step 2: Convert to fraction form
    64.96/89.57 = 43.09/x
  3. Step 3: Cross multiply
    64.96x = 89.57 × 43.09
  4. Step 4: Simplify right side
    64.96x = 3,859.46
  5. Step 5: Solve for x
    x = 3,859.46/64.96
  6. Step 6: Final answer
    x = 59.42

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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.