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Finding the Fourth Proportional to 62.26, 93.04 and 41.80

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Solution

The fourth proportional to 62.26, 93.04 and 41.80 is: 62.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.26 : 93.04 = 41.80 : x
  2. Step 2: Convert to fraction form
    62.26/93.04 = 41.80/x
  3. Step 3: Cross multiply
    62.26x = 93.04 × 41.80
  4. Step 4: Simplify right side
    62.26x = 3,889.07
  5. Step 5: Solve for x
    x = 3,889.07/62.26
  6. Step 6: Final answer
    x = 62.47

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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.