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Finding the Fourth Proportional to 102.77, 154.07 and 54.01

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Solution

The fourth proportional to 102.77, 154.07 and 54.01 is: 80.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.77 : 154.07 = 54.01 : x
  2. Step 2: Convert to fraction form
    102.77/154.07 = 54.01/x
  3. Step 3: Cross multiply
    102.77x = 154.07 × 54.01
  4. Step 4: Simplify right side
    102.77x = 8,320.28
  5. Step 5: Solve for x
    x = 8,320.28/102.77
  6. Step 6: Final answer
    x = 80.96

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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.