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Finding the Fourth Proportional to 92.94, 138.99 and 80.25

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Solution

The fourth proportional to 92.94, 138.99 and 80.25 is: 120.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.94 : 138.99 = 80.25 : x
  2. Step 2: Convert to fraction form
    92.94/138.99 = 80.25/x
  3. Step 3: Cross multiply
    92.94x = 138.99 × 80.25
  4. Step 4: Simplify right side
    92.94x = 11,153.95
  5. Step 5: Solve for x
    x = 11,153.95/92.94
  6. Step 6: Final answer
    x = 120.01

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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.