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Finding the Fourth Proportional to 162.83, 244.03 and 97.62

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Solution

The fourth proportional to 162.83, 244.03 and 97.62 is: 146.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.83 : 244.03 = 97.62 : x
  2. Step 2: Convert to fraction form
    162.83/244.03 = 97.62/x
  3. Step 3: Cross multiply
    162.83x = 244.03 × 97.62
  4. Step 4: Simplify right side
    162.83x = 23,822.21
  5. Step 5: Solve for x
    x = 23,822.21/162.83
  6. Step 6: Final answer
    x = 146.30

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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.