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Finding the Fourth Proportional to 123.40, 188.73 and 123.40

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Solution

The fourth proportional to 123.40, 188.73 and 123.40 is: 188.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.40 : 188.73 = 123.40 : x
  2. Step 2: Convert to fraction form
    123.40/188.73 = 123.40/x
  3. Step 3: Cross multiply
    123.40x = 188.73 × 123.40
  4. Step 4: Simplify right side
    123.40x = 23,289.28
  5. Step 5: Solve for x
    x = 23,289.28/123.40
  6. Step 6: Final answer
    x = 188.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.