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Finding the Fourth Proportional to 123.37, 184.93 and 42.15

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Solution

The fourth proportional to 123.37, 184.93 and 42.15 is: 63.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.37 : 184.93 = 42.15 : x
  2. Step 2: Convert to fraction form
    123.37/184.93 = 42.15/x
  3. Step 3: Cross multiply
    123.37x = 184.93 × 42.15
  4. Step 4: Simplify right side
    123.37x = 7,794.80
  5. Step 5: Solve for x
    x = 7,794.80/123.37
  6. Step 6: Final answer
    x = 63.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.