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Finding the Fourth Proportional to 134.16, 185.05 and 123.13

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Solution

The fourth proportional to 134.16, 185.05 and 123.13 is: 169.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.16 : 185.05 = 123.13 : x
  2. Step 2: Convert to fraction form
    134.16/185.05 = 123.13/x
  3. Step 3: Cross multiply
    134.16x = 185.05 × 123.13
  4. Step 4: Simplify right side
    134.16x = 22,785.33
  5. Step 5: Solve for x
    x = 22,785.33/134.16
  6. Step 6: Final answer
    x = 169.83

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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.