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Finding the Fourth Proportional to 124.68, 172.07 and 78.07

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Solution

The fourth proportional to 124.68, 172.07 and 78.07 is: 107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.68 : 172.07 = 78.07 : x
  2. Step 2: Convert to fraction form
    124.68/172.07 = 78.07/x
  3. Step 3: Cross multiply
    124.68x = 172.07 × 78.07
  4. Step 4: Simplify right side
    124.68x = 13,433.09
  5. Step 5: Solve for x
    x = 13,433.09/124.68
  6. Step 6: Final answer
    x = 107.74

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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.