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Finding the Fourth Proportional to 124.83, 172.33 and 78.23

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Solution

The fourth proportional to 124.83, 172.33 and 78.23 is: 108.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.83 : 172.33 = 78.23 : x
  2. Step 2: Convert to fraction form
    124.83/172.33 = 78.23/x
  3. Step 3: Cross multiply
    124.83x = 172.33 × 78.23
  4. Step 4: Simplify right side
    124.83x = 13,481.90
  5. Step 5: Solve for x
    x = 13,481.90/124.83
  6. Step 6: Final answer
    x = 108.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.