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Finding the Fourth Proportional to 61.58, 92.23 and 41.20

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Solution

The fourth proportional to 61.58, 92.23 and 41.20 is: 61.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.58 : 92.23 = 41.20 : x
  2. Step 2: Convert to fraction form
    61.58/92.23 = 41.20/x
  3. Step 3: Cross multiply
    61.58x = 92.23 × 41.20
  4. Step 4: Simplify right side
    61.58x = 3,799.54
  5. Step 5: Solve for x
    x = 3,799.54/61.58
  6. Step 6: Final answer
    x = 61.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.