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Finding the Fourth Proportional to 123.42, 170.28 and 84.54

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Solution

The fourth proportional to 123.42, 170.28 and 84.54 is: 116.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.42 : 170.28 = 84.54 : x
  2. Step 2: Convert to fraction form
    123.42/170.28 = 84.54/x
  3. Step 3: Cross multiply
    123.42x = 170.28 × 84.54
  4. Step 4: Simplify right side
    123.42x = 14,395.47
  5. Step 5: Solve for x
    x = 14,395.47/123.42
  6. Step 6: Final answer
    x = 116.64

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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.