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Finding the Fourth Proportional to 103.29, 154.90 and 30.16

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Solution

The fourth proportional to 103.29, 154.90 and 30.16 is: 45.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.29 : 154.90 = 30.16 : x
  2. Step 2: Convert to fraction form
    103.29/154.90 = 30.16/x
  3. Step 3: Cross multiply
    103.29x = 154.90 × 30.16
  4. Step 4: Simplify right side
    103.29x = 4,672.02
  5. Step 5: Solve for x
    x = 4,672.02/103.29
  6. Step 6: Final answer
    x = 45.23

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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.