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Finding the Fourth Proportional to 161.93, 243 and 65.75

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Solution

The fourth proportional to 161.93, 243 and 65.75 is: 98.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.93 : 243 = 65.75 : x
  2. Step 2: Convert to fraction form
    161.93/243 = 65.75/x
  3. Step 3: Cross multiply
    161.93x = 243 × 65.75
  4. Step 4: Simplify right side
    161.93x = 15,977.25
  5. Step 5: Solve for x
    x = 15,977.25/161.93
  6. Step 6: Final answer
    x = 98.67

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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.