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Finding the Fourth Proportional to 61.63, 85.04 and 35.75

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Solution

The fourth proportional to 61.63, 85.04 and 35.75 is: 49.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.63 : 85.04 = 35.75 : x
  2. Step 2: Convert to fraction form
    61.63/85.04 = 35.75/x
  3. Step 3: Cross multiply
    61.63x = 85.04 × 35.75
  4. Step 4: Simplify right side
    61.63x = 3,040.18
  5. Step 5: Solve for x
    x = 3,040.18/61.63
  6. Step 6: Final answer
    x = 49.33

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