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Finding the Fourth Proportional to 162.12, 242.64 and 107.76

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Solution

The fourth proportional to 162.12, 242.64 and 107.76 is: 161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.12 : 242.64 = 107.76 : x
  2. Step 2: Convert to fraction form
    162.12/242.64 = 107.76/x
  3. Step 3: Cross multiply
    162.12x = 242.64 × 107.76
  4. Step 4: Simplify right side
    162.12x = 26,146.89
  5. Step 5: Solve for x
    x = 26,146.89/162.12
  6. Step 6: Final answer
    x = 161.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.