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Finding the Fourth Proportional to 103.78, 154.94 and 97.66

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Solution

The fourth proportional to 103.78, 154.94 and 97.66 is: 145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.78 : 154.94 = 97.66 : x
  2. Step 2: Convert to fraction form
    103.78/154.94 = 97.66/x
  3. Step 3: Cross multiply
    103.78x = 154.94 × 97.66
  4. Step 4: Simplify right side
    103.78x = 15,131.44
  5. Step 5: Solve for x
    x = 15,131.44/103.78
  6. Step 6: Final answer
    x = 145.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.