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Finding the Fourth Proportional to 43.42, 65.12 and 24.12

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Solution

The fourth proportional to 43.42, 65.12 and 24.12 is: 36.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.42 : 65.12 = 24.12 : x
  2. Step 2: Convert to fraction form
    43.42/65.12 = 24.12/x
  3. Step 3: Cross multiply
    43.42x = 65.12 × 24.12
  4. Step 4: Simplify right side
    43.42x = 1,570.69
  5. Step 5: Solve for x
    x = 1,570.69/43.42
  6. Step 6: Final answer
    x = 36.17

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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.