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Finding the Fourth Proportional to 123.45, 170.31 and 76.74

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Solution

The fourth proportional to 123.45, 170.31 and 76.74 is: 105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.45 : 170.31 = 76.74 : x
  2. Step 2: Convert to fraction form
    123.45/170.31 = 76.74/x
  3. Step 3: Cross multiply
    123.45x = 170.31 × 76.74
  4. Step 4: Simplify right side
    123.45x = 13,070.32
  5. Step 5: Solve for x
    x = 13,070.32/123.45
  6. Step 6: Final answer
    x = 105.87

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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.