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Finding the Fourth Proportional to 61.74, 85.20 and 41.07

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Solution

The fourth proportional to 61.74, 85.20 and 41.07 is: 56.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.74 : 85.20 = 41.07 : x
  2. Step 2: Convert to fraction form
    61.74/85.20 = 41.07/x
  3. Step 3: Cross multiply
    61.74x = 85.20 × 41.07
  4. Step 4: Simplify right side
    61.74x = 3,499.16
  5. Step 5: Solve for x
    x = 3,499.16/61.74
  6. Step 6: Final answer
    x = 56.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.