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Finding the Fourth Proportional to 64.50, 89.07 and 43.86

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Solution

The fourth proportional to 64.50, 89.07 and 43.86 is: 60.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.50 : 89.07 = 43.86 : x
  2. Step 2: Convert to fraction form
    64.50/89.07 = 43.86/x
  3. Step 3: Cross multiply
    64.50x = 89.07 × 43.86
  4. Step 4: Simplify right side
    64.50x = 3,906.61
  5. Step 5: Solve for x
    x = 3,906.61/64.50
  6. Step 6: Final answer
    x = 60.57

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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.