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Finding the Fourth Proportional to 125.35, 172.80 and 103.20

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Solution

The fourth proportional to 125.35, 172.80 and 103.20 is: 142.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.35 : 172.80 = 103.20 : x
  2. Step 2: Convert to fraction form
    125.35/172.80 = 103.20/x
  3. Step 3: Cross multiply
    125.35x = 172.80 × 103.20
  4. Step 4: Simplify right side
    125.35x = 17,832.96
  5. Step 5: Solve for x
    x = 17,832.96/125.35
  6. Step 6: Final answer
    x = 142.27

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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.