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Finding the Fourth Proportional to 123.01, 183.64 and 118.74

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Solution

The fourth proportional to 123.01, 183.64 and 118.74 is: 177.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.01 : 183.64 = 118.74 : x
  2. Step 2: Convert to fraction form
    123.01/183.64 = 118.74/x
  3. Step 3: Cross multiply
    123.01x = 183.64 × 118.74
  4. Step 4: Simplify right side
    123.01x = 21,805.41
  5. Step 5: Solve for x
    x = 21,805.41/123.01
  6. Step 6: Final answer
    x = 177.27

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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.