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Finding the Fourth Proportional to 84.39, 116.40 and 74.02

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Solution

The fourth proportional to 84.39, 116.40 and 74.02 is: 102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.39 : 116.40 = 74.02 : x
  2. Step 2: Convert to fraction form
    84.39/116.40 = 74.02/x
  3. Step 3: Cross multiply
    84.39x = 116.40 × 74.02
  4. Step 4: Simplify right side
    84.39x = 8,615.35
  5. Step 5: Solve for x
    x = 8,615.35/84.39
  6. Step 6: Final answer
    x = 102.10

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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.