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Finding the Fourth Proportional to 132.36, 197.55 and 123.24

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Solution

The fourth proportional to 132.36, 197.55 and 123.24 is: 183.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.36 : 197.55 = 123.24 : x
  2. Step 2: Convert to fraction form
    132.36/197.55 = 123.24/x
  3. Step 3: Cross multiply
    132.36x = 197.55 × 123.24
  4. Step 4: Simplify right side
    132.36x = 24,346.06
  5. Step 5: Solve for x
    x = 24,346.06/132.36
  6. Step 6: Final answer
    x = 183.94

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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.