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Finding the Fourth Proportional to 106.72, 159.23 and 95.45

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Solution

The fourth proportional to 106.72, 159.23 and 95.45 is: 142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.72 : 159.23 = 95.45 : x
  2. Step 2: Convert to fraction form
    106.72/159.23 = 95.45/x
  3. Step 3: Cross multiply
    106.72x = 159.23 × 95.45
  4. Step 4: Simplify right side
    106.72x = 15,197.95
  5. Step 5: Solve for x
    x = 15,197.95/106.72
  6. Step 6: Final answer
    x = 142.41

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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.