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Finding the Fourth Proportional to 380.88, 571.32 and 106.97

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Solution

The fourth proportional to 380.88, 571.32 and 106.97 is: 160.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.88 : 571.32 = 106.97 : x
  2. Step 2: Convert to fraction form
    380.88/571.32 = 106.97/x
  3. Step 3: Cross multiply
    380.88x = 571.32 × 106.97
  4. Step 4: Simplify right side
    380.88x = 61,111.24
  5. Step 5: Solve for x
    x = 61,111.24/380.88
  6. Step 6: Final answer
    x = 160.45

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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.