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Finding the Fourth Proportional to 101.22, 139.68 and 57.55

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Solution

The fourth proportional to 101.22, 139.68 and 57.55 is: 79.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.22 : 139.68 = 57.55 : x
  2. Step 2: Convert to fraction form
    101.22/139.68 = 57.55/x
  3. Step 3: Cross multiply
    101.22x = 139.68 × 57.55
  4. Step 4: Simplify right side
    101.22x = 8,038.58
  5. Step 5: Solve for x
    x = 8,038.58/101.22
  6. Step 6: Final answer
    x = 79.42

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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.