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Finding the Fourth Proportional to 107.07, 160.63 and 46.17

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Solution

The fourth proportional to 107.07, 160.63 and 46.17 is: 69.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.07 : 160.63 = 46.17 : x
  2. Step 2: Convert to fraction form
    107.07/160.63 = 46.17/x
  3. Step 3: Cross multiply
    107.07x = 160.63 × 46.17
  4. Step 4: Simplify right side
    107.07x = 7,416.43
  5. Step 5: Solve for x
    x = 7,416.43/107.07
  6. Step 6: Final answer
    x = 69.27

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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.