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Finding the Fourth Proportional to 123.19, 184.75 and 42.02

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Solution

The fourth proportional to 123.19, 184.75 and 42.02 is: 63.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.19 : 184.75 = 42.02 : x
  2. Step 2: Convert to fraction form
    123.19/184.75 = 42.02/x
  3. Step 3: Cross multiply
    123.19x = 184.75 × 42.02
  4. Step 4: Simplify right side
    123.19x = 7,762.27
  5. Step 5: Solve for x
    x = 7,762.27/123.19
  6. Step 6: Final answer
    x = 63.01

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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.