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Finding the Fourth Proportional to 123.50, 170.50 and 79.90

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Solution

The fourth proportional to 123.50, 170.50 and 79.90 is: 110.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.50 : 170.50 = 79.90 : x
  2. Step 2: Convert to fraction form
    123.50/170.50 = 79.90/x
  3. Step 3: Cross multiply
    123.50x = 170.50 × 79.90
  4. Step 4: Simplify right side
    123.50x = 13,622.95
  5. Step 5: Solve for x
    x = 13,622.95/123.50
  6. Step 6: Final answer
    x = 110.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.