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Finding the Fourth Proportional to 123.19, 170.00 and 70.75

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Solution

The fourth proportional to 123.19, 170.00 and 70.75 is: 97.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.19 : 170.00 = 70.75 : x
  2. Step 2: Convert to fraction form
    123.19/170.00 = 70.75/x
  3. Step 3: Cross multiply
    123.19x = 170.00 × 70.75
  4. Step 4: Simplify right side
    123.19x = 12,026.30
  5. Step 5: Solve for x
    x = 12,026.30/123.19
  6. Step 6: Final answer
    x = 97.62

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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.