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Finding the Fourth Proportional to 123.82, 185.81 and 75.63

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Solution

The fourth proportional to 123.82, 185.81 and 75.63 is: 113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.82 : 185.81 = 75.63 : x
  2. Step 2: Convert to fraction form
    123.82/185.81 = 75.63/x
  3. Step 3: Cross multiply
    123.82x = 185.81 × 75.63
  4. Step 4: Simplify right side
    123.82x = 14,052.81
  5. Step 5: Solve for x
    x = 14,052.81/123.82
  6. Step 6: Final answer
    x = 113.49

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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.