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Finding the Fourth Proportional to 162.49, 243.83 and 65

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Solution

The fourth proportional to 162.49, 243.83 and 65 is: 97.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.49 : 243.83 = 65 : x
  2. Step 2: Convert to fraction form
    162.49/243.83 = 65/x
  3. Step 3: Cross multiply
    162.49x = 243.83 × 65
  4. Step 4: Simplify right side
    162.49x = 15,848.95
  5. Step 5: Solve for x
    x = 15,848.95/162.49
  6. Step 6: Final answer
    x = 97.54

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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.