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Finding the Fourth Proportional to 161.04, 241.84 and 100.32

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Solution

The fourth proportional to 161.04, 241.84 and 100.32 is: 150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.04 : 241.84 = 100.32 : x
  2. Step 2: Convert to fraction form
    161.04/241.84 = 100.32/x
  3. Step 3: Cross multiply
    161.04x = 241.84 × 100.32
  4. Step 4: Simplify right side
    161.04x = 24,261.39
  5. Step 5: Solve for x
    x = 24,261.39/161.04
  6. Step 6: Final answer
    x = 150.65

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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.