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Finding the Fourth Proportional to 163.64, 245.18 and 102.62

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Solution

The fourth proportional to 163.64, 245.18 and 102.62 is: 153.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.64 : 245.18 = 102.62 : x
  2. Step 2: Convert to fraction form
    163.64/245.18 = 102.62/x
  3. Step 3: Cross multiply
    163.64x = 245.18 × 102.62
  4. Step 4: Simplify right side
    163.64x = 25,159.40
  5. Step 5: Solve for x
    x = 25,159.40/163.64
  6. Step 6: Final answer
    x = 153.75

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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.