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Finding the Fourth Proportional to 61.67, 92.45 and 37.64

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Solution

The fourth proportional to 61.67, 92.45 and 37.64 is: 56.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.67 : 92.45 = 37.64 : x
  2. Step 2: Convert to fraction form
    61.67/92.45 = 37.64/x
  3. Step 3: Cross multiply
    61.67x = 92.45 × 37.64
  4. Step 4: Simplify right side
    61.67x = 3,479.17
  5. Step 5: Solve for x
    x = 3,479.17/61.67
  6. Step 6: Final answer
    x = 56.42

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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.