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Finding the Fourth Proportional to 131.28, 195.88 and 123.54

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Solution

The fourth proportional to 131.28, 195.88 and 123.54 is: 184.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.28 : 195.88 = 123.54 : x
  2. Step 2: Convert to fraction form
    131.28/195.88 = 123.54/x
  3. Step 3: Cross multiply
    131.28x = 195.88 × 123.54
  4. Step 4: Simplify right side
    131.28x = 24,199.02
  5. Step 5: Solve for x
    x = 24,199.02/131.28
  6. Step 6: Final answer
    x = 184.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.