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Finding the Fourth Proportional to 107.76, 148.42 and 89.33

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Solution

The fourth proportional to 107.76, 148.42 and 89.33 is: 123.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.76 : 148.42 = 89.33 : x
  2. Step 2: Convert to fraction form
    107.76/148.42 = 89.33/x
  3. Step 3: Cross multiply
    107.76x = 148.42 × 89.33
  4. Step 4: Simplify right side
    107.76x = 13,258.36
  5. Step 5: Solve for x
    x = 13,258.36/107.76
  6. Step 6: Final answer
    x = 123.04

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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.