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Finding the Fourth Proportional to 106.58, 159.91 and 51.76

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Solution

The fourth proportional to 106.58, 159.91 and 51.76 is: 77.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.58 : 159.91 = 51.76 : x
  2. Step 2: Convert to fraction form
    106.58/159.91 = 51.76/x
  3. Step 3: Cross multiply
    106.58x = 159.91 × 51.76
  4. Step 4: Simplify right side
    106.58x = 8,277.68
  5. Step 5: Solve for x
    x = 8,277.68/106.58
  6. Step 6: Final answer
    x = 77.67

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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.