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Finding the Fourth Proportional to 132.60, 183.06 and 103.44

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Solution

The fourth proportional to 132.60, 183.06 and 103.44 is: 142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.60 : 183.06 = 103.44 : x
  2. Step 2: Convert to fraction form
    132.60/183.06 = 103.44/x
  3. Step 3: Cross multiply
    132.60x = 183.06 × 103.44
  4. Step 4: Simplify right side
    132.60x = 18,935.73
  5. Step 5: Solve for x
    x = 18,935.73/132.60
  6. Step 6: Final answer
    x = 142.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.