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Finding the Fourth Proportional to 100.71, 139.01 and 89.06

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Solution

The fourth proportional to 100.71, 139.01 and 89.06 is: 122.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.71 : 139.01 = 89.06 : x
  2. Step 2: Convert to fraction form
    100.71/139.01 = 89.06/x
  3. Step 3: Cross multiply
    100.71x = 139.01 × 89.06
  4. Step 4: Simplify right side
    100.71x = 12,379.09
  5. Step 5: Solve for x
    x = 12,379.09/100.71
  6. Step 6: Final answer
    x = 122.92

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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.