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Finding the Fourth Proportional to 101.45, 139.52 and 89.30

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Solution

The fourth proportional to 101.45, 139.52 and 89.30 is: 122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.45 : 139.52 = 89.30 : x
  2. Step 2: Convert to fraction form
    101.45/139.52 = 89.30/x
  3. Step 3: Cross multiply
    101.45x = 139.52 × 89.30
  4. Step 4: Simplify right side
    101.45x = 12,458.69
  5. Step 5: Solve for x
    x = 12,458.69/101.45
  6. Step 6: Final answer
    x = 122.81

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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.