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Finding the Fourth Proportional to 107.42, 160.28 and 95.26

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Solution

The fourth proportional to 107.42, 160.28 and 95.26 is: 142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.42 : 160.28 = 95.26 : x
  2. Step 2: Convert to fraction form
    107.42/160.28 = 95.26/x
  3. Step 3: Cross multiply
    107.42x = 160.28 × 95.26
  4. Step 4: Simplify right side
    107.42x = 15,268.27
  5. Step 5: Solve for x
    x = 15,268.27/107.42
  6. Step 6: Final answer
    x = 142.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.