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Finding the Fourth Proportional to 41.25, 56.58 and 40.94

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Solution

The fourth proportional to 41.25, 56.58 and 40.94 is: 56.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.25 : 56.58 = 40.94 : x
  2. Step 2: Convert to fraction form
    41.25/56.58 = 40.94/x
  3. Step 3: Cross multiply
    41.25x = 56.58 × 40.94
  4. Step 4: Simplify right side
    41.25x = 2,316.10
  5. Step 5: Solve for x
    x = 2,316.10/41.25
  6. Step 6: Final answer
    x = 56.15

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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.