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Finding the Fourth Proportional to 61.53, 92.67 and 51.96

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Solution

The fourth proportional to 61.53, 92.67 and 51.96 is: 78.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.53 : 92.67 = 51.96 : x
  2. Step 2: Convert to fraction form
    61.53/92.67 = 51.96/x
  3. Step 3: Cross multiply
    61.53x = 92.67 × 51.96
  4. Step 4: Simplify right side
    61.53x = 4,814.87
  5. Step 5: Solve for x
    x = 4,814.87/61.53
  6. Step 6: Final answer
    x = 78.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.