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Finding the Fourth Proportional to 139.29, 192.31 and 89.53

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Solution

The fourth proportional to 139.29, 192.31 and 89.53 is: 123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.29 : 192.31 = 89.53 : x
  2. Step 2: Convert to fraction form
    139.29/192.31 = 89.53/x
  3. Step 3: Cross multiply
    139.29x = 192.31 × 89.53
  4. Step 4: Simplify right side
    139.29x = 17,217.10
  5. Step 5: Solve for x
    x = 17,217.10/139.29
  6. Step 6: Final answer
    x = 123.60

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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.