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Finding the Fourth Proportional to 103.16, 154.65 and 51.76

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Solution

The fourth proportional to 103.16, 154.65 and 51.76 is: 77.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.16 : 154.65 = 51.76 : x
  2. Step 2: Convert to fraction form
    103.16/154.65 = 51.76/x
  3. Step 3: Cross multiply
    103.16x = 154.65 × 51.76
  4. Step 4: Simplify right side
    103.16x = 8,004.30
  5. Step 5: Solve for x
    x = 8,004.30/103.16
  6. Step 6: Final answer
    x = 77.59

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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.