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Finding the Fourth Proportional to 107.23, 159.83 and 101.14

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Solution

The fourth proportional to 107.23, 159.83 and 101.14 is: 150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.23 : 159.83 = 101.14 : x
  2. Step 2: Convert to fraction form
    107.23/159.83 = 101.14/x
  3. Step 3: Cross multiply
    107.23x = 159.83 × 101.14
  4. Step 4: Simplify right side
    107.23x = 16,165.21
  5. Step 5: Solve for x
    x = 16,165.21/107.23
  6. Step 6: Final answer
    x = 150.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.