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Finding the Fourth Proportional to 162.85, 224.79 and 107.57

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Solution

The fourth proportional to 162.85, 224.79 and 107.57 is: 148.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.85 : 224.79 = 107.57 : x
  2. Step 2: Convert to fraction form
    162.85/224.79 = 107.57/x
  3. Step 3: Cross multiply
    162.85x = 224.79 × 107.57
  4. Step 4: Simplify right side
    162.85x = 24,180.07
  5. Step 5: Solve for x
    x = 24,180.07/162.85
  6. Step 6: Final answer
    x = 148.48

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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.