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Finding the Fourth Proportional to 123.70, 173.30 and 123.70

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Solution

The fourth proportional to 123.70, 173.30 and 123.70 is: 173.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.70 : 173.30 = 123.70 : x
  2. Step 2: Convert to fraction form
    123.70/173.30 = 123.70/x
  3. Step 3: Cross multiply
    123.70x = 173.30 × 123.70
  4. Step 4: Simplify right side
    123.70x = 21,437.21
  5. Step 5: Solve for x
    x = 21,437.21/123.70
  6. Step 6: Final answer
    x = 173.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.