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Finding the Fourth Proportional to 162.14, 242.70 and 107.32

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Solution

The fourth proportional to 162.14, 242.70 and 107.32 is: 160.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.14 : 242.70 = 107.32 : x
  2. Step 2: Convert to fraction form
    162.14/242.70 = 107.32/x
  3. Step 3: Cross multiply
    162.14x = 242.70 × 107.32
  4. Step 4: Simplify right side
    162.14x = 26,046.56
  5. Step 5: Solve for x
    x = 26,046.56/162.14
  6. Step 6: Final answer
    x = 160.64

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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.