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Finding the Fourth Proportional to 163.59, 245.06 and 98.39

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Solution

The fourth proportional to 163.59, 245.06 and 98.39 is: 147.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.59 : 245.06 = 98.39 : x
  2. Step 2: Convert to fraction form
    163.59/245.06 = 98.39/x
  3. Step 3: Cross multiply
    163.59x = 245.06 × 98.39
  4. Step 4: Simplify right side
    163.59x = 24,112.65
  5. Step 5: Solve for x
    x = 24,112.65/163.59
  6. Step 6: Final answer
    x = 147.40

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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.