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Finding the Fourth Proportional to 103.02, 154.53 and 30.88

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Solution

The fourth proportional to 103.02, 154.53 and 30.88 is: 46.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.02 : 154.53 = 30.88 : x
  2. Step 2: Convert to fraction form
    103.02/154.53 = 30.88/x
  3. Step 3: Cross multiply
    103.02x = 154.53 × 30.88
  4. Step 4: Simplify right side
    103.02x = 4,770.96
  5. Step 5: Solve for x
    x = 4,770.96/103.02
  6. Step 6: Final answer
    x = 46.31

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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.