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Finding the Fourth Proportional to 103, 154.56 and 51.66

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Solution

The fourth proportional to 103, 154.56 and 51.66 is: 77.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103 : 154.56 = 51.66 : x
  2. Step 2: Convert to fraction form
    103/154.56 = 51.66/x
  3. Step 3: Cross multiply
    103x = 154.56 × 51.66
  4. Step 4: Simplify right side
    103x = 7,984.57
  5. Step 5: Solve for x
    x = 7,984.57/103
  6. Step 6: Final answer
    x = 77.52

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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.