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Finding the Fourth Proportional to 43.50, 65.22 and 24.24

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Solution

The fourth proportional to 43.50, 65.22 and 24.24 is: 36.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.50 : 65.22 = 24.24 : x
  2. Step 2: Convert to fraction form
    43.50/65.22 = 24.24/x
  3. Step 3: Cross multiply
    43.50x = 65.22 × 24.24
  4. Step 4: Simplify right side
    43.50x = 1,580.93
  5. Step 5: Solve for x
    x = 1,580.93/43.50
  6. Step 6: Final answer
    x = 36.34

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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.