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Finding the Fourth Proportional to 161.40, 222.72 and 102.30

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Solution

The fourth proportional to 161.40, 222.72 and 102.30 is: 141.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.40 : 222.72 = 102.30 : x
  2. Step 2: Convert to fraction form
    161.40/222.72 = 102.30/x
  3. Step 3: Cross multiply
    161.40x = 222.72 × 102.30
  4. Step 4: Simplify right side
    161.40x = 22,784.26
  5. Step 5: Solve for x
    x = 22,784.26/161.40
  6. Step 6: Final answer
    x = 141.17

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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.