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Finding the Fourth Proportional to 100.98, 139.29 and 71.82

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Solution

The fourth proportional to 100.98, 139.29 and 71.82 is: 99.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.98 : 139.29 = 71.82 : x
  2. Step 2: Convert to fraction form
    100.98/139.29 = 71.82/x
  3. Step 3: Cross multiply
    100.98x = 139.29 × 71.82
  4. Step 4: Simplify right side
    100.98x = 10,003.81
  5. Step 5: Solve for x
    x = 10,003.81/100.98
  6. Step 6: Final answer
    x = 99.07

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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.