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Finding the Fourth Proportional to 107.79, 161.43 and 87.29

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Solution

The fourth proportional to 107.79, 161.43 and 87.29 is: 130.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.79 : 161.43 = 87.29 : x
  2. Step 2: Convert to fraction form
    107.79/161.43 = 87.29/x
  3. Step 3: Cross multiply
    107.79x = 161.43 × 87.29
  4. Step 4: Simplify right side
    107.79x = 14,090.42
  5. Step 5: Solve for x
    x = 14,090.42/107.79
  6. Step 6: Final answer
    x = 130.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.