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Finding the Fourth Proportional to 84.52, 116.58 and 70.71

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Solution

The fourth proportional to 84.52, 116.58 and 70.71 is: 97.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.52 : 116.58 = 70.71 : x
  2. Step 2: Convert to fraction form
    84.52/116.58 = 70.71/x
  3. Step 3: Cross multiply
    84.52x = 116.58 × 70.71
  4. Step 4: Simplify right side
    84.52x = 8,243.37
  5. Step 5: Solve for x
    x = 8,243.37/84.52
  6. Step 6: Final answer
    x = 97.53

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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.