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Finding the Fourth Proportional to 91.98, 138.45 and 78.78

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Solution

The fourth proportional to 91.98, 138.45 and 78.78 is: 118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.98 : 138.45 = 78.78 : x
  2. Step 2: Convert to fraction form
    91.98/138.45 = 78.78/x
  3. Step 3: Cross multiply
    91.98x = 138.45 × 78.78
  4. Step 4: Simplify right side
    91.98x = 10,907.91
  5. Step 5: Solve for x
    x = 10,907.91/91.98
  6. Step 6: Final answer
    x = 118.59

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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.