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Finding the Fourth Proportional to 162.84, 224.68 and 107.68

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Solution

The fourth proportional to 162.84, 224.68 and 107.68 is: 148.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.84 : 224.68 = 107.68 : x
  2. Step 2: Convert to fraction form
    162.84/224.68 = 107.68/x
  3. Step 3: Cross multiply
    162.84x = 224.68 × 107.68
  4. Step 4: Simplify right side
    162.84x = 24,193.54
  5. Step 5: Solve for x
    x = 24,193.54/162.84
  6. Step 6: Final answer
    x = 148.57

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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.