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Finding the Fourth Proportional to 151.50, 209.08 and 85.99

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Solution

The fourth proportional to 151.50, 209.08 and 85.99 is: 118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.50 : 209.08 = 85.99 : x
  2. Step 2: Convert to fraction form
    151.50/209.08 = 85.99/x
  3. Step 3: Cross multiply
    151.50x = 209.08 × 85.99
  4. Step 4: Simplify right side
    151.50x = 17,978.79
  5. Step 5: Solve for x
    x = 17,978.79/151.50
  6. Step 6: Final answer
    x = 118.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.