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Finding the Fourth Proportional to 61.60, 85.00 and 35.73

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Solution

The fourth proportional to 61.60, 85.00 and 35.73 is: 49.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.60 : 85.00 = 35.73 : x
  2. Step 2: Convert to fraction form
    61.60/85.00 = 35.73/x
  3. Step 3: Cross multiply
    61.60x = 85.00 × 35.73
  4. Step 4: Simplify right side
    61.60x = 3,036.45
  5. Step 5: Solve for x
    x = 3,036.45/61.60
  6. Step 6: Final answer
    x = 49.29

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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.