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Finding the Fourth Proportional to 84.69, 116.71 and 75.51

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Solution

The fourth proportional to 84.69, 116.71 and 75.51 is: 104.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.69 : 116.71 = 75.51 : x
  2. Step 2: Convert to fraction form
    84.69/116.71 = 75.51/x
  3. Step 3: Cross multiply
    84.69x = 116.71 × 75.51
  4. Step 4: Simplify right side
    84.69x = 8,812.58
  5. Step 5: Solve for x
    x = 8,812.58/84.69
  6. Step 6: Final answer
    x = 104.06

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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.