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Finding the Fourth Proportional to 43.34, 65.05 and 34.42

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Solution

The fourth proportional to 43.34, 65.05 and 34.42 is: 51.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.34 : 65.05 = 34.42 : x
  2. Step 2: Convert to fraction form
    43.34/65.05 = 34.42/x
  3. Step 3: Cross multiply
    43.34x = 65.05 × 34.42
  4. Step 4: Simplify right side
    43.34x = 2,239.02
  5. Step 5: Solve for x
    x = 2,239.02/43.34
  6. Step 6: Final answer
    x = 51.66

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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.