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Finding the Fourth Proportional to 123.94, 185.71 and 75.21

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Solution

The fourth proportional to 123.94, 185.71 and 75.21 is: 112.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.94 : 185.71 = 75.21 : x
  2. Step 2: Convert to fraction form
    123.94/185.71 = 75.21/x
  3. Step 3: Cross multiply
    123.94x = 185.71 × 75.21
  4. Step 4: Simplify right side
    123.94x = 13,966.23
  5. Step 5: Solve for x
    x = 13,966.23/123.94
  6. Step 6: Final answer
    x = 112.69

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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.