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Finding the Fourth Proportional to 125.09, 172.54 and 78.41

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Solution

The fourth proportional to 125.09, 172.54 and 78.41 is: 108.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.09 : 172.54 = 78.41 : x
  2. Step 2: Convert to fraction form
    125.09/172.54 = 78.41/x
  3. Step 3: Cross multiply
    125.09x = 172.54 × 78.41
  4. Step 4: Simplify right side
    125.09x = 13,529.10
  5. Step 5: Solve for x
    x = 13,529.10/125.09
  6. Step 6: Final answer
    x = 108.15

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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.