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Finding the Fourth Proportional to 43.91, 65.87 and 19.53

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Solution

The fourth proportional to 43.91, 65.87 and 19.53 is: 29.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.91 : 65.87 = 19.53 : x
  2. Step 2: Convert to fraction form
    43.91/65.87 = 19.53/x
  3. Step 3: Cross multiply
    43.91x = 65.87 × 19.53
  4. Step 4: Simplify right side
    43.91x = 1,286.34
  5. Step 5: Solve for x
    x = 1,286.34/43.91
  6. Step 6: Final answer
    x = 29.30

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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.