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Finding the Fourth Proportional to 142.99, 197.29 and 106.08

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Solution

The fourth proportional to 142.99, 197.29 and 106.08 is: 146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.99 : 197.29 = 106.08 : x
  2. Step 2: Convert to fraction form
    142.99/197.29 = 106.08/x
  3. Step 3: Cross multiply
    142.99x = 197.29 × 106.08
  4. Step 4: Simplify right side
    142.99x = 20,928.52
  5. Step 5: Solve for x
    x = 20,928.52/142.99
  6. Step 6: Final answer
    x = 146.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.