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Finding the Fourth Proportional to 140.15, 210.23 and 75.12

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Solution

The fourth proportional to 140.15, 210.23 and 75.12 is: 112.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.15 : 210.23 = 75.12 : x
  2. Step 2: Convert to fraction form
    140.15/210.23 = 75.12/x
  3. Step 3: Cross multiply
    140.15x = 210.23 × 75.12
  4. Step 4: Simplify right side
    140.15x = 15,791.60
  5. Step 5: Solve for x
    x = 15,791.60/140.15
  6. Step 6: Final answer
    x = 112.67

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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.