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Finding the Fourth Proportional to 107.78, 162.06 and 98.46

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Solution

The fourth proportional to 107.78, 162.06 and 98.46 is: 148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.78 : 162.06 = 98.46 : x
  2. Step 2: Convert to fraction form
    107.78/162.06 = 98.46/x
  3. Step 3: Cross multiply
    107.78x = 162.06 × 98.46
  4. Step 4: Simplify right side
    107.78x = 15,956.43
  5. Step 5: Solve for x
    x = 15,956.43/107.78
  6. Step 6: Final answer
    x = 148.05

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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.