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Finding the Fourth Proportional to 384.01, 575.91 and 106.30

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Solution

The fourth proportional to 384.01, 575.91 and 106.30 is: 159.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.01 : 575.91 = 106.30 : x
  2. Step 2: Convert to fraction form
    384.01/575.91 = 106.30/x
  3. Step 3: Cross multiply
    384.01x = 575.91 × 106.30
  4. Step 4: Simplify right side
    384.01x = 61,219.23
  5. Step 5: Solve for x
    x = 61,219.23/384.01
  6. Step 6: Final answer
    x = 159.42

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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.