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Finding the Fourth Proportional to 100.83, 139.10 and 71.67

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Solution

The fourth proportional to 100.83, 139.10 and 71.67 is: 98.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.83 : 139.10 = 71.67 : x
  2. Step 2: Convert to fraction form
    100.83/139.10 = 71.67/x
  3. Step 3: Cross multiply
    100.83x = 139.10 × 71.67
  4. Step 4: Simplify right side
    100.83x = 9,968.94
  5. Step 5: Solve for x
    x = 9,968.94/100.83
  6. Step 6: Final answer
    x = 98.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.