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Finding the Fourth Proportional to 111.70, 153.96 and 107.14

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Solution

The fourth proportional to 111.70, 153.96 and 107.14 is: 147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.70 : 153.96 = 107.14 : x
  2. Step 2: Convert to fraction form
    111.70/153.96 = 107.14/x
  3. Step 3: Cross multiply
    111.70x = 153.96 × 107.14
  4. Step 4: Simplify right side
    111.70x = 16,495.27
  5. Step 5: Solve for x
    x = 16,495.27/111.70
  6. Step 6: Final answer
    x = 147.67

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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.