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Finding the Fourth Proportional to 105.46, 157.95 and 51.34

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Solution

The fourth proportional to 105.46, 157.95 and 51.34 is: 76.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.46 : 157.95 = 51.34 : x
  2. Step 2: Convert to fraction form
    105.46/157.95 = 51.34/x
  3. Step 3: Cross multiply
    105.46x = 157.95 × 51.34
  4. Step 4: Simplify right side
    105.46x = 8,109.15
  5. Step 5: Solve for x
    x = 8,109.15/105.46
  6. Step 6: Final answer
    x = 76.89

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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.