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Finding the Fourth Proportional to 103.42, 154.83 and 64.78

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Solution

The fourth proportional to 103.42, 154.83 and 64.78 is: 96.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.42 : 154.83 = 64.78 : x
  2. Step 2: Convert to fraction form
    103.42/154.83 = 64.78/x
  3. Step 3: Cross multiply
    103.42x = 154.83 × 64.78
  4. Step 4: Simplify right side
    103.42x = 10,028.79
  5. Step 5: Solve for x
    x = 10,028.79/103.42
  6. Step 6: Final answer
    x = 96.97

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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.