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Finding the Fourth Proportional to 84.58, 116.67 and 51.81

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Solution

The fourth proportional to 84.58, 116.67 and 51.81 is: 71.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.58 : 116.67 = 51.81 : x
  2. Step 2: Convert to fraction form
    84.58/116.67 = 51.81/x
  3. Step 3: Cross multiply
    84.58x = 116.67 × 51.81
  4. Step 4: Simplify right side
    84.58x = 6,044.43
  5. Step 5: Solve for x
    x = 6,044.43/84.58
  6. Step 6: Final answer
    x = 71.47

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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.