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Finding the Fourth Proportional to 123.51, 184.90 and 100.42

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Solution

The fourth proportional to 123.51, 184.90 and 100.42 is: 150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.51 : 184.90 = 100.42 : x
  2. Step 2: Convert to fraction form
    123.51/184.90 = 100.42/x
  3. Step 3: Cross multiply
    123.51x = 184.90 × 100.42
  4. Step 4: Simplify right side
    123.51x = 18,567.16
  5. Step 5: Solve for x
    x = 18,567.16/123.51
  6. Step 6: Final answer
    x = 150.33

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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.