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Finding the Fourth Proportional to 162.42, 224.30 and 107.22

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Solution

The fourth proportional to 162.42, 224.30 and 107.22 is: 148.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.42 : 224.30 = 107.22 : x
  2. Step 2: Convert to fraction form
    162.42/224.30 = 107.22/x
  3. Step 3: Cross multiply
    162.42x = 224.30 × 107.22
  4. Step 4: Simplify right side
    162.42x = 24,049.45
  5. Step 5: Solve for x
    x = 24,049.45/162.42
  6. Step 6: Final answer
    x = 148.07

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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.