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Finding the Fourth Proportional to 103.02, 154.66 and 54.96

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Solution

The fourth proportional to 103.02, 154.66 and 54.96 is: 82.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.02 : 154.66 = 54.96 : x
  2. Step 2: Convert to fraction form
    103.02/154.66 = 54.96/x
  3. Step 3: Cross multiply
    103.02x = 154.66 × 54.96
  4. Step 4: Simplify right side
    103.02x = 8,500.11
  5. Step 5: Solve for x
    x = 8,500.11/103.02
  6. Step 6: Final answer
    x = 82.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.