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Finding the Fourth Proportional to 102.71, 154.09 and 51.36

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Solution

The fourth proportional to 102.71, 154.09 and 51.36 is: 77.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.71 : 154.09 = 51.36 : x
  2. Step 2: Convert to fraction form
    102.71/154.09 = 51.36/x
  3. Step 3: Cross multiply
    102.71x = 154.09 × 51.36
  4. Step 4: Simplify right side
    102.71x = 7,913.26
  5. Step 5: Solve for x
    x = 7,913.26/102.71
  6. Step 6: Final answer
    x = 77.04

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Why These Related Problems?

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