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Finding the Fourth Proportional to 102.92, 154.33 and 51.55

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Solution

The fourth proportional to 102.92, 154.33 and 51.55 is: 77.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.92 : 154.33 = 51.55 : x
  2. Step 2: Convert to fraction form
    102.92/154.33 = 51.55/x
  3. Step 3: Cross multiply
    102.92x = 154.33 × 51.55
  4. Step 4: Simplify right side
    102.92x = 7,955.20
  5. Step 5: Solve for x
    x = 7,955.20/102.92
  6. Step 6: Final answer
    x = 77.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.