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Finding the Fourth Proportional to 162.70, 224.33 and 107.42

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Solution

The fourth proportional to 162.70, 224.33 and 107.42 is: 148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.70 : 224.33 = 107.42 : x
  2. Step 2: Convert to fraction form
    162.70/224.33 = 107.42/x
  3. Step 3: Cross multiply
    162.70x = 224.33 × 107.42
  4. Step 4: Simplify right side
    162.70x = 24,097.53
  5. Step 5: Solve for x
    x = 24,097.53/162.70
  6. Step 6: Final answer
    x = 148.11

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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.