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Finding the Fourth Proportional to 43.17, 64.70 and 22.89

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Solution

The fourth proportional to 43.17, 64.70 and 22.89 is: 34.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.17 : 64.70 = 22.89 : x
  2. Step 2: Convert to fraction form
    43.17/64.70 = 22.89/x
  3. Step 3: Cross multiply
    43.17x = 64.70 × 22.89
  4. Step 4: Simplify right side
    43.17x = 1,480.98
  5. Step 5: Solve for x
    x = 1,480.98/43.17
  6. Step 6: Final answer
    x = 34.31

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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.