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Finding the Fourth Proportional to 124.90, 172.26 and 100.34

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Solution

The fourth proportional to 124.90, 172.26 and 100.34 is: 138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.90 : 172.26 = 100.34 : x
  2. Step 2: Convert to fraction form
    124.90/172.26 = 100.34/x
  3. Step 3: Cross multiply
    124.90x = 172.26 × 100.34
  4. Step 4: Simplify right side
    124.90x = 17,284.57
  5. Step 5: Solve for x
    x = 17,284.57/124.90
  6. Step 6: Final answer
    x = 138.39

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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.