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Finding the Fourth Proportional to 125.03, 172.37 and 83.57

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Solution

The fourth proportional to 125.03, 172.37 and 83.57 is: 115.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.03 : 172.37 = 83.57 : x
  2. Step 2: Convert to fraction form
    125.03/172.37 = 83.57/x
  3. Step 3: Cross multiply
    125.03x = 172.37 × 83.57
  4. Step 4: Simplify right side
    125.03x = 14,404.31
  5. Step 5: Solve for x
    x = 14,404.31/125.03
  6. Step 6: Final answer
    x = 115.20

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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.