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Finding the Fourth Proportional to 61.65, 92.46 and 34.62

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Solution

The fourth proportional to 61.65, 92.46 and 34.62 is: 51.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.65 : 92.46 = 34.62 : x
  2. Step 2: Convert to fraction form
    61.65/92.46 = 34.62/x
  3. Step 3: Cross multiply
    61.65x = 92.46 × 34.62
  4. Step 4: Simplify right side
    61.65x = 3,200.97
  5. Step 5: Solve for x
    x = 3,200.97/61.65
  6. Step 6: Final answer
    x = 51.92

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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.