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Finding the Fourth Proportional to 123.04, 183.15 and 117.46

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Solution

The fourth proportional to 123.04, 183.15 and 117.46 is: 174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.04 : 183.15 = 117.46 : x
  2. Step 2: Convert to fraction form
    123.04/183.15 = 117.46/x
  3. Step 3: Cross multiply
    123.04x = 183.15 × 117.46
  4. Step 4: Simplify right side
    123.04x = 21,512.80
  5. Step 5: Solve for x
    x = 21,512.80/123.04
  6. Step 6: Final answer
    x = 174.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.