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Finding the Fourth Proportional to 124.82, 172.16 and 78.14

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Solution

The fourth proportional to 124.82, 172.16 and 78.14 is: 107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.82 : 172.16 = 78.14 : x
  2. Step 2: Convert to fraction form
    124.82/172.16 = 78.14/x
  3. Step 3: Cross multiply
    124.82x = 172.16 × 78.14
  4. Step 4: Simplify right side
    124.82x = 13,452.19
  5. Step 5: Solve for x
    x = 13,452.19/124.82
  6. Step 6: Final answer
    x = 107.77

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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.