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Finding the Fourth Proportional to 61.28, 91.85 and 35.62

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Solution

The fourth proportional to 61.28, 91.85 and 35.62 is: 53.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.28 : 91.85 = 35.62 : x
  2. Step 2: Convert to fraction form
    61.28/91.85 = 35.62/x
  3. Step 3: Cross multiply
    61.28x = 91.85 × 35.62
  4. Step 4: Simplify right side
    61.28x = 3,271.06
  5. Step 5: Solve for x
    x = 3,271.06/61.28
  6. Step 6: Final answer
    x = 53.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.