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Finding the Fourth Proportional to 102.23, 154.29 and 102.23

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Solution

The fourth proportional to 102.23, 154.29 and 102.23 is: 154.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.23 : 154.29 = 102.23 : x
  2. Step 2: Convert to fraction form
    102.23/154.29 = 102.23/x
  3. Step 3: Cross multiply
    102.23x = 154.29 × 102.23
  4. Step 4: Simplify right side
    102.23x = 15,773.07
  5. Step 5: Solve for x
    x = 15,773.07/102.23
  6. Step 6: Final answer
    x = 154.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.