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Finding the Fourth Proportional to 130.06, 195.11 and 38.77

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Solution

The fourth proportional to 130.06, 195.11 and 38.77 is: 58.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.06 : 195.11 = 38.77 : x
  2. Step 2: Convert to fraction form
    130.06/195.11 = 38.77/x
  3. Step 3: Cross multiply
    130.06x = 195.11 × 38.77
  4. Step 4: Simplify right side
    130.06x = 7,563.88
  5. Step 5: Solve for x
    x = 7,563.88/130.06
  6. Step 6: Final answer
    x = 58.16

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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.