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Finding the Fourth Proportional to 106.38, 158.27 and 106.02

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Solution

The fourth proportional to 106.38, 158.27 and 106.02 is: 157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.38 : 158.27 = 106.02 : x
  2. Step 2: Convert to fraction form
    106.38/158.27 = 106.02/x
  3. Step 3: Cross multiply
    106.38x = 158.27 × 106.02
  4. Step 4: Simplify right side
    106.38x = 16,779.26
  5. Step 5: Solve for x
    x = 16,779.26/106.38
  6. Step 6: Final answer
    x = 157.73

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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.