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Finding the Fourth Proportional to 161.80, 223.23 and 99.64

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Solution

The fourth proportional to 161.80, 223.23 and 99.64 is: 137.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.80 : 223.23 = 99.64 : x
  2. Step 2: Convert to fraction form
    161.80/223.23 = 99.64/x
  3. Step 3: Cross multiply
    161.80x = 223.23 × 99.64
  4. Step 4: Simplify right side
    161.80x = 22,242.64
  5. Step 5: Solve for x
    x = 22,242.64/161.80
  6. Step 6: Final answer
    x = 137.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.