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Finding the Fourth Proportional to 102.86, 154.30 and 30.74

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Solution

The fourth proportional to 102.86, 154.30 and 30.74 is: 46.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.86 : 154.30 = 30.74 : x
  2. Step 2: Convert to fraction form
    102.86/154.30 = 30.74/x
  3. Step 3: Cross multiply
    102.86x = 154.30 × 30.74
  4. Step 4: Simplify right side
    102.86x = 4,743.18
  5. Step 5: Solve for x
    x = 4,743.18/102.86
  6. Step 6: Final answer
    x = 46.11

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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.