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Finding the Fourth Proportional to 387.89, 581.82 and 106.45

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Solution

The fourth proportional to 387.89, 581.82 and 106.45 is: 159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.89 : 581.82 = 106.45 : x
  2. Step 2: Convert to fraction form
    387.89/581.82 = 106.45/x
  3. Step 3: Cross multiply
    387.89x = 581.82 × 106.45
  4. Step 4: Simplify right side
    387.89x = 61,932.89
  5. Step 5: Solve for x
    x = 61,932.89/387.89
  6. Step 6: Final answer
    x = 159.67

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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.