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Finding the Fourth Proportional to 123.51, 170.40 and 82.02

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Solution

The fourth proportional to 123.51, 170.40 and 82.02 is: 113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.51 : 170.40 = 82.02 : x
  2. Step 2: Convert to fraction form
    123.51/170.40 = 82.02/x
  3. Step 3: Cross multiply
    123.51x = 170.40 × 82.02
  4. Step 4: Simplify right side
    123.51x = 13,976.21
  5. Step 5: Solve for x
    x = 13,976.21/123.51
  6. Step 6: Final answer
    x = 113.16

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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.