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Finding the Fourth Proportional to 123.68, 170.69 and 84.39

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Solution

The fourth proportional to 123.68, 170.69 and 84.39 is: 116.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.68 : 170.69 = 84.39 : x
  2. Step 2: Convert to fraction form
    123.68/170.69 = 84.39/x
  3. Step 3: Cross multiply
    123.68x = 170.69 × 84.39
  4. Step 4: Simplify right side
    123.68x = 14,404.11
  5. Step 5: Solve for x
    x = 14,404.11/123.68
  6. Step 6: Final answer
    x = 116.47

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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.