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Finding the Fourth Proportional to 103.05, 154.53 and 30.89

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Solution

The fourth proportional to 103.05, 154.53 and 30.89 is: 46.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.05 : 154.53 = 30.89 : x
  2. Step 2: Convert to fraction form
    103.05/154.53 = 30.89/x
  3. Step 3: Cross multiply
    103.05x = 154.53 × 30.89
  4. Step 4: Simplify right side
    103.05x = 4,773.34
  5. Step 5: Solve for x
    x = 4,773.34/103.05
  6. Step 6: Final answer
    x = 46.32

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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.