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Finding the Fourth Proportional to 133.58, 199.40 and 123.56

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Solution

The fourth proportional to 133.58, 199.40 and 123.56 is: 184.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.58 : 199.40 = 123.56 : x
  2. Step 2: Convert to fraction form
    133.58/199.40 = 123.56/x
  3. Step 3: Cross multiply
    133.58x = 199.40 × 123.56
  4. Step 4: Simplify right side
    133.58x = 24,636.48
  5. Step 5: Solve for x
    x = 24,636.48/133.58
  6. Step 6: Final answer
    x = 184.44

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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.