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Finding the Fourth Proportional to 107.11, 160.53 and 46.18

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Solution

The fourth proportional to 107.11, 160.53 and 46.18 is: 69.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.11 : 160.53 = 46.18 : x
  2. Step 2: Convert to fraction form
    107.11/160.53 = 46.18/x
  3. Step 3: Cross multiply
    107.11x = 160.53 × 46.18
  4. Step 4: Simplify right side
    107.11x = 7,412.90
  5. Step 5: Solve for x
    x = 7,412.90/107.11
  6. Step 6: Final answer
    x = 69.21

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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.