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Finding the Fourth Proportional to 123.29, 183.60 and 118.02

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Solution

The fourth proportional to 123.29, 183.60 and 118.02 is: 175.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.29 : 183.60 = 118.02 : x
  2. Step 2: Convert to fraction form
    123.29/183.60 = 118.02/x
  3. Step 3: Cross multiply
    123.29x = 183.60 × 118.02
  4. Step 4: Simplify right side
    123.29x = 21,668.47
  5. Step 5: Solve for x
    x = 21,668.47/123.29
  6. Step 6: Final answer
    x = 175.75

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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.