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Finding the Fourth Proportional to 380.76, 571.12 and 106.84

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Solution

The fourth proportional to 380.76, 571.12 and 106.84 is: 160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.76 : 571.12 = 106.84 : x
  2. Step 2: Convert to fraction form
    380.76/571.12 = 106.84/x
  3. Step 3: Cross multiply
    380.76x = 571.12 × 106.84
  4. Step 4: Simplify right side
    380.76x = 61,018.46
  5. Step 5: Solve for x
    x = 61,018.46/380.76
  6. Step 6: Final answer
    x = 160.25

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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.