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Finding the Fourth Proportional to 162.05, 243.08 and 65.87

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Solution

The fourth proportional to 162.05, 243.08 and 65.87 is: 98.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.05 : 243.08 = 65.87 : x
  2. Step 2: Convert to fraction form
    162.05/243.08 = 65.87/x
  3. Step 3: Cross multiply
    162.05x = 243.08 × 65.87
  4. Step 4: Simplify right side
    162.05x = 16,010.13
  5. Step 5: Solve for x
    x = 16,010.13/162.05
  6. Step 6: Final answer
    x = 98.80

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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.