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Finding the Fourth Proportional to 107.31, 148.37 and 93.64

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Solution

The fourth proportional to 107.31, 148.37 and 93.64 is: 129.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.31 : 148.37 = 93.64 : x
  2. Step 2: Convert to fraction form
    107.31/148.37 = 93.64/x
  3. Step 3: Cross multiply
    107.31x = 148.37 × 93.64
  4. Step 4: Simplify right side
    107.31x = 13,893.23
  5. Step 5: Solve for x
    x = 13,893.23/107.31
  6. Step 6: Final answer
    x = 129.47

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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.