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Finding the Fourth Proportional to 103.07, 154.56 and 51.70

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Solution

The fourth proportional to 103.07, 154.56 and 51.70 is: 77.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.07 : 154.56 = 51.70 : x
  2. Step 2: Convert to fraction form
    103.07/154.56 = 51.70/x
  3. Step 3: Cross multiply
    103.07x = 154.56 × 51.70
  4. Step 4: Simplify right side
    103.07x = 7,990.75
  5. Step 5: Solve for x
    x = 7,990.75/103.07
  6. Step 6: Final answer
    x = 77.53

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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.