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Finding the Fourth Proportional to 123.02, 169.73 and 71.26

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Solution

The fourth proportional to 123.02, 169.73 and 71.26 is: 98.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.02 : 169.73 = 71.26 : x
  2. Step 2: Convert to fraction form
    123.02/169.73 = 71.26/x
  3. Step 3: Cross multiply
    123.02x = 169.73 × 71.26
  4. Step 4: Simplify right side
    123.02x = 12,094.96
  5. Step 5: Solve for x
    x = 12,094.96/123.02
  6. Step 6: Final answer
    x = 98.32

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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.