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Finding the Fourth Proportional to 107.78, 162.24 and 98.21

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Solution

The fourth proportional to 107.78, 162.24 and 98.21 is: 147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.78 : 162.24 = 98.21 : x
  2. Step 2: Convert to fraction form
    107.78/162.24 = 98.21/x
  3. Step 3: Cross multiply
    107.78x = 162.24 × 98.21
  4. Step 4: Simplify right side
    107.78x = 15,933.45
  5. Step 5: Solve for x
    x = 15,933.45/107.78
  6. Step 6: Final answer
    x = 147.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.