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Finding the Fourth Proportional to 162.97, 224.74 and 107.64

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Solution

The fourth proportional to 162.97, 224.74 and 107.64 is: 148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.97 : 224.74 = 107.64 : x
  2. Step 2: Convert to fraction form
    162.97/224.74 = 107.64/x
  3. Step 3: Cross multiply
    162.97x = 224.74 × 107.64
  4. Step 4: Simplify right side
    162.97x = 24,191.01
  5. Step 5: Solve for x
    x = 24,191.01/162.97
  6. Step 6: Final answer
    x = 148.44

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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.