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Finding the Fourth Proportional to 123.80, 185.36 and 107.53

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Solution

The fourth proportional to 123.80, 185.36 and 107.53 is: 161.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.80 : 185.36 = 107.53 : x
  2. Step 2: Convert to fraction form
    123.80/185.36 = 107.53/x
  3. Step 3: Cross multiply
    123.80x = 185.36 × 107.53
  4. Step 4: Simplify right side
    123.80x = 19,930.76
  5. Step 5: Solve for x
    x = 19,930.76/123.80
  6. Step 6: Final answer
    x = 161.00

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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.