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Finding the Fourth Proportional to 61.62, 92.20 and 53.16

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Solution

The fourth proportional to 61.62, 92.20 and 53.16 is: 79.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.62 : 92.20 = 53.16 : x
  2. Step 2: Convert to fraction form
    61.62/92.20 = 53.16/x
  3. Step 3: Cross multiply
    61.62x = 92.20 × 53.16
  4. Step 4: Simplify right side
    61.62x = 4,901.35
  5. Step 5: Solve for x
    x = 4,901.35/61.62
  6. Step 6: Final answer
    x = 79.54

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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.