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Finding the Fourth Proportional to 114.09, 171 and 62.67

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Solution

The fourth proportional to 114.09, 171 and 62.67 is: 93.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.09 : 171 = 62.67 : x
  2. Step 2: Convert to fraction form
    114.09/171 = 62.67/x
  3. Step 3: Cross multiply
    114.09x = 171 × 62.67
  4. Step 4: Simplify right side
    114.09x = 10,716.57
  5. Step 5: Solve for x
    x = 10,716.57/114.09
  6. Step 6: Final answer
    x = 93.93

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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.