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Finding the Fourth Proportional to 125.28, 172.31 and 100.66

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Solution

The fourth proportional to 125.28, 172.31 and 100.66 is: 138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.28 : 172.31 = 100.66 : x
  2. Step 2: Convert to fraction form
    125.28/172.31 = 100.66/x
  3. Step 3: Cross multiply
    125.28x = 172.31 × 100.66
  4. Step 4: Simplify right side
    125.28x = 17,344.22
  5. Step 5: Solve for x
    x = 17,344.22/125.28
  6. Step 6: Final answer
    x = 138.45

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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.