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Finding the Fourth Proportional to 107.03, 160.45 and 72.71

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Solution

The fourth proportional to 107.03, 160.45 and 72.71 is: 108.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.03 : 160.45 = 72.71 : x
  2. Step 2: Convert to fraction form
    107.03/160.45 = 72.71/x
  3. Step 3: Cross multiply
    107.03x = 160.45 × 72.71
  4. Step 4: Simplify right side
    107.03x = 11,665.94
  5. Step 5: Solve for x
    x = 11,665.94/107.03
  6. Step 6: Final answer
    x = 108.99

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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.