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Finding the Fourth Proportional to 130.51, 195.60 and 69.67

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Solution

The fourth proportional to 130.51, 195.60 and 69.67 is: 104.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.51 : 195.60 = 69.67 : x
  2. Step 2: Convert to fraction form
    130.51/195.60 = 69.67/x
  3. Step 3: Cross multiply
    130.51x = 195.60 × 69.67
  4. Step 4: Simplify right side
    130.51x = 13,627.45
  5. Step 5: Solve for x
    x = 13,627.45/130.51
  6. Step 6: Final answer
    x = 104.42

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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.