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Finding the Fourth Proportional to 162.84, 244.01 and 114.01

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Solution

The fourth proportional to 162.84, 244.01 and 114.01 is: 170.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.84 : 244.01 = 114.01 : x
  2. Step 2: Convert to fraction form
    162.84/244.01 = 114.01/x
  3. Step 3: Cross multiply
    162.84x = 244.01 × 114.01
  4. Step 4: Simplify right side
    162.84x = 27,819.26
  5. Step 5: Solve for x
    x = 27,819.26/162.84
  6. Step 6: Final answer
    x = 170.83

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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.