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Finding the Fourth Proportional to 107.60, 148.32 and 92.08

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Solution

The fourth proportional to 107.60, 148.32 and 92.08 is: 126.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.60 : 148.32 = 92.08 : x
  2. Step 2: Convert to fraction form
    107.60/148.32 = 92.08/x
  3. Step 3: Cross multiply
    107.60x = 148.32 × 92.08
  4. Step 4: Simplify right side
    107.60x = 13,657.31
  5. Step 5: Solve for x
    x = 13,657.31/107.60
  6. Step 6: Final answer
    x = 126.93

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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.