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Finding the Fourth Proportional to 92.84, 139.24 and 52.24

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Solution

The fourth proportional to 92.84, 139.24 and 52.24 is: 78.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.84 : 139.24 = 52.24 : x
  2. Step 2: Convert to fraction form
    92.84/139.24 = 52.24/x
  3. Step 3: Cross multiply
    92.84x = 139.24 × 52.24
  4. Step 4: Simplify right side
    92.84x = 7,273.90
  5. Step 5: Solve for x
    x = 7,273.90/92.84
  6. Step 6: Final answer
    x = 78.35

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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.