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Finding the Fourth Proportional to 162.45, 223.95 and 136.14

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Solution

The fourth proportional to 162.45, 223.95 and 136.14 is: 187.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.45 : 223.95 = 136.14 : x
  2. Step 2: Convert to fraction form
    162.45/223.95 = 136.14/x
  3. Step 3: Cross multiply
    162.45x = 223.95 × 136.14
  4. Step 4: Simplify right side
    162.45x = 30,488.55
  5. Step 5: Solve for x
    x = 30,488.55/162.45
  6. Step 6: Final answer
    x = 187.68

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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.