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Finding the Fourth Proportional to 125.02, 172.38 and 106.57

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Solution

The fourth proportional to 125.02, 172.38 and 106.57 is: 146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.02 : 172.38 = 106.57 : x
  2. Step 2: Convert to fraction form
    125.02/172.38 = 106.57/x
  3. Step 3: Cross multiply
    125.02x = 172.38 × 106.57
  4. Step 4: Simplify right side
    125.02x = 18,370.54
  5. Step 5: Solve for x
    x = 18,370.54/125.02
  6. Step 6: Final answer
    x = 146.94

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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.