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Finding the Fourth Proportional to 107.91, 160.95 and 101.07

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Solution

The fourth proportional to 107.91, 160.95 and 101.07 is: 150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.91 : 160.95 = 101.07 : x
  2. Step 2: Convert to fraction form
    107.91/160.95 = 101.07/x
  3. Step 3: Cross multiply
    107.91x = 160.95 × 101.07
  4. Step 4: Simplify right side
    107.91x = 16,267.22
  5. Step 5: Solve for x
    x = 16,267.22/107.91
  6. Step 6: Final answer
    x = 150.75

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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.