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Finding the Fourth Proportional to 123.21, 169.65 and 116.32

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Solution

The fourth proportional to 123.21, 169.65 and 116.32 is: 160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.21 : 169.65 = 116.32 : x
  2. Step 2: Convert to fraction form
    123.21/169.65 = 116.32/x
  3. Step 3: Cross multiply
    123.21x = 169.65 × 116.32
  4. Step 4: Simplify right side
    123.21x = 19,733.69
  5. Step 5: Solve for x
    x = 19,733.69/123.21
  6. Step 6: Final answer
    x = 160.16

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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.