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Finding the Fourth Proportional to 41.14, 56.46 and 40.64

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Solution

The fourth proportional to 41.14, 56.46 and 40.64 is: 55.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.14 : 56.46 = 40.64 : x
  2. Step 2: Convert to fraction form
    41.14/56.46 = 40.64/x
  3. Step 3: Cross multiply
    41.14x = 56.46 × 40.64
  4. Step 4: Simplify right side
    41.14x = 2,294.40
  5. Step 5: Solve for x
    x = 2,294.40/41.14
  6. Step 6: Final answer
    x = 55.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.