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Finding the Fourth Proportional to 123.72, 170.64 and 108.14

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Solution

The fourth proportional to 123.72, 170.64 and 108.14 is: 149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.72 : 170.64 = 108.14 : x
  2. Step 2: Convert to fraction form
    123.72/170.64 = 108.14/x
  3. Step 3: Cross multiply
    123.72x = 170.64 × 108.14
  4. Step 4: Simplify right side
    123.72x = 18,453.01
  5. Step 5: Solve for x
    x = 18,453.01/123.72
  6. Step 6: Final answer
    x = 149.15

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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.