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Finding the Fourth Proportional to 384.06, 576.10 and 106.42

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Solution

The fourth proportional to 384.06, 576.10 and 106.42 is: 159.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.06 : 576.10 = 106.42 : x
  2. Step 2: Convert to fraction form
    384.06/576.10 = 106.42/x
  3. Step 3: Cross multiply
    384.06x = 576.10 × 106.42
  4. Step 4: Simplify right side
    384.06x = 61,308.25
  5. Step 5: Solve for x
    x = 61,308.25/384.06
  6. Step 6: Final answer
    x = 159.63

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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.