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Finding the Fourth Proportional to 84.51, 116.59 and 51.71

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Solution

The fourth proportional to 84.51, 116.59 and 51.71 is: 71.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.51 : 116.59 = 51.71 : x
  2. Step 2: Convert to fraction form
    84.51/116.59 = 51.71/x
  3. Step 3: Cross multiply
    84.51x = 116.59 × 51.71
  4. Step 4: Simplify right side
    84.51x = 6,028.29
  5. Step 5: Solve for x
    x = 6,028.29/84.51
  6. Step 6: Final answer
    x = 71.33

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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.