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Finding the Fourth Proportional to 124.06, 185.73 and 78.21

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Solution

The fourth proportional to 124.06, 185.73 and 78.21 is: 117.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.06 : 185.73 = 78.21 : x
  2. Step 2: Convert to fraction form
    124.06/185.73 = 78.21/x
  3. Step 3: Cross multiply
    124.06x = 185.73 × 78.21
  4. Step 4: Simplify right side
    124.06x = 14,525.94
  5. Step 5: Solve for x
    x = 14,525.94/124.06
  6. Step 6: Final answer
    x = 117.09

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Why These Related Problems?

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