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Finding the Fourth Proportional to 61.57, 84.96 and 35.68

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Solution

The fourth proportional to 61.57, 84.96 and 35.68 is: 49.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.57 : 84.96 = 35.68 : x
  2. Step 2: Convert to fraction form
    61.57/84.96 = 35.68/x
  3. Step 3: Cross multiply
    61.57x = 84.96 × 35.68
  4. Step 4: Simplify right side
    61.57x = 3,031.37
  5. Step 5: Solve for x
    x = 3,031.37/61.57
  6. Step 6: Final answer
    x = 49.23

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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.