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Finding the Fourth Proportional to 92.64, 138.74 and 51.98

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Solution

The fourth proportional to 92.64, 138.74 and 51.98 is: 77.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.64 : 138.74 = 51.98 : x
  2. Step 2: Convert to fraction form
    92.64/138.74 = 51.98/x
  3. Step 3: Cross multiply
    92.64x = 138.74 × 51.98
  4. Step 4: Simplify right side
    92.64x = 7,211.71
  5. Step 5: Solve for x
    x = 7,211.71/92.64
  6. Step 6: Final answer
    x = 77.85

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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.