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Finding the Fourth Proportional to 71.06, 106.47 and 50.67

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Solution

The fourth proportional to 71.06, 106.47 and 50.67 is: 75.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.06 : 106.47 = 50.67 : x
  2. Step 2: Convert to fraction form
    71.06/106.47 = 50.67/x
  3. Step 3: Cross multiply
    71.06x = 106.47 × 50.67
  4. Step 4: Simplify right side
    71.06x = 5,394.83
  5. Step 5: Solve for x
    x = 5,394.83/71.06
  6. Step 6: Final answer
    x = 75.92

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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.