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Finding the Fourth Proportional to 100.82, 139.10 and 57.14

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Solution

The fourth proportional to 100.82, 139.10 and 57.14 is: 78.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.82 : 139.10 = 57.14 : x
  2. Step 2: Convert to fraction form
    100.82/139.10 = 57.14/x
  3. Step 3: Cross multiply
    100.82x = 139.10 × 57.14
  4. Step 4: Simplify right side
    100.82x = 7,948.17
  5. Step 5: Solve for x
    x = 7,948.17/100.82
  6. Step 6: Final answer
    x = 78.84

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