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Finding the Fourth Proportional to 111.39, 153.61 and 102.67

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Solution

The fourth proportional to 111.39, 153.61 and 102.67 is: 141.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.39 : 153.61 = 102.67 : x
  2. Step 2: Convert to fraction form
    111.39/153.61 = 102.67/x
  3. Step 3: Cross multiply
    111.39x = 153.61 × 102.67
  4. Step 4: Simplify right side
    111.39x = 15,771.14
  5. Step 5: Solve for x
    x = 15,771.14/111.39
  6. Step 6: Final answer
    x = 141.58

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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.