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Finding the Fourth Proportional to 309.05, 463.46 and 103.56

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Solution

The fourth proportional to 309.05, 463.46 and 103.56 is: 155.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.05 : 463.46 = 103.56 : x
  2. Step 2: Convert to fraction form
    309.05/463.46 = 103.56/x
  3. Step 3: Cross multiply
    309.05x = 463.46 × 103.56
  4. Step 4: Simplify right side
    309.05x = 47,995.40
  5. Step 5: Solve for x
    x = 47,995.40/309.05
  6. Step 6: Final answer
    x = 155.30

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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.