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Finding the Fourth Proportional to 124.90, 172.20 and 106.18

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Solution

The fourth proportional to 124.90, 172.20 and 106.18 is: 146.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.90 : 172.20 = 106.18 : x
  2. Step 2: Convert to fraction form
    124.90/172.20 = 106.18/x
  3. Step 3: Cross multiply
    124.90x = 172.20 × 106.18
  4. Step 4: Simplify right side
    124.90x = 18,284.20
  5. Step 5: Solve for x
    x = 18,284.20/124.90
  6. Step 6: Final answer
    x = 146.39

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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.