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Finding the Fourth Proportional to 102.25, 140.94 and 78.89

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Solution

The fourth proportional to 102.25, 140.94 and 78.89 is: 108.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.25 : 140.94 = 78.89 : x
  2. Step 2: Convert to fraction form
    102.25/140.94 = 78.89/x
  3. Step 3: Cross multiply
    102.25x = 140.94 × 78.89
  4. Step 4: Simplify right side
    102.25x = 11,118.76
  5. Step 5: Solve for x
    x = 11,118.76/102.25
  6. Step 6: Final answer
    x = 108.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.