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Finding the Fourth Proportional to 111.96, 154.63 and 75.06

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Solution

The fourth proportional to 111.96, 154.63 and 75.06 is: 103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.96 : 154.63 = 75.06 : x
  2. Step 2: Convert to fraction form
    111.96/154.63 = 75.06/x
  3. Step 3: Cross multiply
    111.96x = 154.63 × 75.06
  4. Step 4: Simplify right side
    111.96x = 11,606.53
  5. Step 5: Solve for x
    x = 11,606.53/111.96
  6. Step 6: Final answer
    x = 103.67

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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.