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Finding the Fourth Proportional to 130.36, 195.66 and 98.38

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Solution

The fourth proportional to 130.36, 195.66 and 98.38 is: 147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.36 : 195.66 = 98.38 : x
  2. Step 2: Convert to fraction form
    130.36/195.66 = 98.38/x
  3. Step 3: Cross multiply
    130.36x = 195.66 × 98.38
  4. Step 4: Simplify right side
    130.36x = 19,249.03
  5. Step 5: Solve for x
    x = 19,249.03/130.36
  6. Step 6: Final answer
    x = 147.66

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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.