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Finding the Fourth Proportional to 309.10, 463.60 and 103.66

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Solution

The fourth proportional to 309.10, 463.60 and 103.66 is: 155.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.10 : 463.60 = 103.66 : x
  2. Step 2: Convert to fraction form
    309.10/463.60 = 103.66/x
  3. Step 3: Cross multiply
    309.10x = 463.60 × 103.66
  4. Step 4: Simplify right side
    309.10x = 48,056.78
  5. Step 5: Solve for x
    x = 48,056.78/309.10
  6. Step 6: Final answer
    x = 155.48

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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.