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Finding the Fourth Proportional to 92.84, 139.16 and 52.28

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Solution

The fourth proportional to 92.84, 139.16 and 52.28 is: 78.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.84 : 139.16 = 52.28 : x
  2. Step 2: Convert to fraction form
    92.84/139.16 = 52.28/x
  3. Step 3: Cross multiply
    92.84x = 139.16 × 52.28
  4. Step 4: Simplify right side
    92.84x = 7,275.28
  5. Step 5: Solve for x
    x = 7,275.28/92.84
  6. Step 6: Final answer
    x = 78.36

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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.