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Finding the Fourth Proportional to 43.72, 65.23 and 41.14

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Solution

The fourth proportional to 43.72, 65.23 and 41.14 is: 61.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.72 : 65.23 = 41.14 : x
  2. Step 2: Convert to fraction form
    43.72/65.23 = 41.14/x
  3. Step 3: Cross multiply
    43.72x = 65.23 × 41.14
  4. Step 4: Simplify right side
    43.72x = 2,683.24
  5. Step 5: Solve for x
    x = 2,683.24/43.72
  6. Step 6: Final answer
    x = 61.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.