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Finding the Fourth Proportional to 125.10, 172.40 and 120.11

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Solution

The fourth proportional to 125.10, 172.40 and 120.11 is: 165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.10 : 172.40 = 120.11 : x
  2. Step 2: Convert to fraction form
    125.10/172.40 = 120.11/x
  3. Step 3: Cross multiply
    125.10x = 172.40 × 120.11
  4. Step 4: Simplify right side
    125.10x = 20,705.50
  5. Step 5: Solve for x
    x = 20,705.50/125.10
  6. Step 6: Final answer
    x = 165.51

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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.