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Finding the Fourth Proportional to 124.80, 172.14 and 78.14

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Solution

The fourth proportional to 124.80, 172.14 and 78.14 is: 107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.80 : 172.14 = 78.14 : x
  2. Step 2: Convert to fraction form
    124.80/172.14 = 78.14/x
  3. Step 3: Cross multiply
    124.80x = 172.14 × 78.14
  4. Step 4: Simplify right side
    124.80x = 13,451.02
  5. Step 5: Solve for x
    x = 13,451.02/124.80
  6. Step 6: Final answer
    x = 107.78

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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.