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Finding the Fourth Proportional to 61.76, 85.24 and 35.90

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Solution

The fourth proportional to 61.76, 85.24 and 35.90 is: 49.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.76 : 85.24 = 35.90 : x
  2. Step 2: Convert to fraction form
    61.76/85.24 = 35.90/x
  3. Step 3: Cross multiply
    61.76x = 85.24 × 35.90
  4. Step 4: Simplify right side
    61.76x = 3,060.12
  5. Step 5: Solve for x
    x = 3,060.12/61.76
  6. Step 6: Final answer
    x = 49.55

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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.