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Finding the Fourth Proportional to 43.71, 65.47 and 34.55

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Solution

The fourth proportional to 43.71, 65.47 and 34.55 is: 51.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.71 : 65.47 = 34.55 : x
  2. Step 2: Convert to fraction form
    43.71/65.47 = 34.55/x
  3. Step 3: Cross multiply
    43.71x = 65.47 × 34.55
  4. Step 4: Simplify right side
    43.71x = 2,261.99
  5. Step 5: Solve for x
    x = 2,261.99/43.71
  6. Step 6: Final answer
    x = 51.75

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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.