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Finding the Fourth Proportional to 56.69, 85.32 and 41.57

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Solution

The fourth proportional to 56.69, 85.32 and 41.57 is: 62.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.69 : 85.32 = 41.57 : x
  2. Step 2: Convert to fraction form
    56.69/85.32 = 41.57/x
  3. Step 3: Cross multiply
    56.69x = 85.32 × 41.57
  4. Step 4: Simplify right side
    56.69x = 3,546.33
  5. Step 5: Solve for x
    x = 3,546.33/56.69
  6. Step 6: Final answer
    x = 62.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.