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Finding the Fourth Proportional to 43.15, 64.69 and 22.86

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Solution

The fourth proportional to 43.15, 64.69 and 22.86 is: 34.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.15 : 64.69 = 22.86 : x
  2. Step 2: Convert to fraction form
    43.15/64.69 = 22.86/x
  3. Step 3: Cross multiply
    43.15x = 64.69 × 22.86
  4. Step 4: Simplify right side
    43.15x = 1,478.81
  5. Step 5: Solve for x
    x = 1,478.81/43.15
  6. Step 6: Final answer
    x = 34.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.