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Finding the Fourth Proportional to 124.03, 185.64 and 75.79

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Solution

The fourth proportional to 124.03, 185.64 and 75.79 is: 113.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.03 : 185.64 = 75.79 : x
  2. Step 2: Convert to fraction form
    124.03/185.64 = 75.79/x
  3. Step 3: Cross multiply
    124.03x = 185.64 × 75.79
  4. Step 4: Simplify right side
    124.03x = 14,069.66
  5. Step 5: Solve for x
    x = 14,069.66/124.03
  6. Step 6: Final answer
    x = 113.44

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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.