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Finding the Fourth Proportional to 130.27, 195.61 and 123.77

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Solution

The fourth proportional to 130.27, 195.61 and 123.77 is: 185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.27 : 195.61 = 123.77 : x
  2. Step 2: Convert to fraction form
    130.27/195.61 = 123.77/x
  3. Step 3: Cross multiply
    130.27x = 195.61 × 123.77
  4. Step 4: Simplify right side
    130.27x = 24,210.65
  5. Step 5: Solve for x
    x = 24,210.65/130.27
  6. Step 6: Final answer
    x = 185.85

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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.