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Finding the Fourth Proportional to 123.61, 185.49 and 77.99

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Solution

The fourth proportional to 123.61, 185.49 and 77.99 is: 117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.61 : 185.49 = 77.99 : x
  2. Step 2: Convert to fraction form
    123.61/185.49 = 77.99/x
  3. Step 3: Cross multiply
    123.61x = 185.49 × 77.99
  4. Step 4: Simplify right side
    123.61x = 14,465.44
  5. Step 5: Solve for x
    x = 14,465.44/123.61
  6. Step 6: Final answer
    x = 117.03

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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.