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Finding the Fourth Proportional to 125.28, 172.02 and 106.64

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Solution

The fourth proportional to 125.28, 172.02 and 106.64 is: 146.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.28 : 172.02 = 106.64 : x
  2. Step 2: Convert to fraction form
    125.28/172.02 = 106.64/x
  3. Step 3: Cross multiply
    125.28x = 172.02 × 106.64
  4. Step 4: Simplify right side
    125.28x = 18,344.21
  5. Step 5: Solve for x
    x = 18,344.21/125.28
  6. Step 6: Final answer
    x = 146.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.