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Finding the Fourth Proportional to 130.44, 195.40 and 123.72

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Solution

The fourth proportional to 130.44, 195.40 and 123.72 is: 185.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.44 : 195.40 = 123.72 : x
  2. Step 2: Convert to fraction form
    130.44/195.40 = 123.72/x
  3. Step 3: Cross multiply
    130.44x = 195.40 × 123.72
  4. Step 4: Simplify right side
    130.44x = 24,174.89
  5. Step 5: Solve for x
    x = 24,174.89/130.44
  6. Step 6: Final answer
    x = 185.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.