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Finding the Fourth Proportional to 100.85, 139.14 and 64.05

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Solution

The fourth proportional to 100.85, 139.14 and 64.05 is: 88.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.85 : 139.14 = 64.05 : x
  2. Step 2: Convert to fraction form
    100.85/139.14 = 64.05/x
  3. Step 3: Cross multiply
    100.85x = 139.14 × 64.05
  4. Step 4: Simplify right side
    100.85x = 8,912.16
  5. Step 5: Solve for x
    x = 8,912.16/100.85
  6. Step 6: Final answer
    x = 88.37

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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.