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Finding the Fourth Proportional to 106.14, 159.20 and 34.00

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Solution

The fourth proportional to 106.14, 159.20 and 34.00 is: 50.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.14 : 159.20 = 34.00 : x
  2. Step 2: Convert to fraction form
    106.14/159.20 = 34.00/x
  3. Step 3: Cross multiply
    106.14x = 159.20 × 34.00
  4. Step 4: Simplify right side
    106.14x = 5,412.00
  5. Step 5: Solve for x
    x = 5,412.00/106.14
  6. Step 6: Final answer
    x = 50.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.