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Finding the Fourth Proportional to 92.30, 139 and 77.98

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Solution

The fourth proportional to 92.30, 139 and 77.98 is: 117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.30 : 139 = 77.98 : x
  2. Step 2: Convert to fraction form
    92.30/139 = 77.98/x
  3. Step 3: Cross multiply
    92.30x = 139 × 77.98
  4. Step 4: Simplify right side
    92.30x = 10,839.22
  5. Step 5: Solve for x
    x = 10,839.22/92.30
  6. Step 6: Final answer
    x = 117.43

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