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Finding the Fourth Proportional to 84.74, 116.61 and 75.02

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Solution

The fourth proportional to 84.74, 116.61 and 75.02 is: 103.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.74 : 116.61 = 75.02 : x
  2. Step 2: Convert to fraction form
    84.74/116.61 = 75.02/x
  3. Step 3: Cross multiply
    84.74x = 116.61 × 75.02
  4. Step 4: Simplify right side
    84.74x = 8,748.08
  5. Step 5: Solve for x
    x = 8,748.08/84.74
  6. Step 6: Final answer
    x = 103.23

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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.