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Finding the Fourth Proportional to 43.23, 64.78 and 23.98

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Solution

The fourth proportional to 43.23, 64.78 and 23.98 is: 35.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.23 : 64.78 = 23.98 : x
  2. Step 2: Convert to fraction form
    43.23/64.78 = 23.98/x
  3. Step 3: Cross multiply
    43.23x = 64.78 × 23.98
  4. Step 4: Simplify right side
    43.23x = 1,553.35
  5. Step 5: Solve for x
    x = 1,553.35/43.23
  6. Step 6: Final answer
    x = 35.93

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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.