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Finding the Fourth Proportional to 84.90, 116.10 and 84.51

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Solution

The fourth proportional to 84.90, 116.10 and 84.51 is: 115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.90 : 116.10 = 84.51 : x
  2. Step 2: Convert to fraction form
    84.90/116.10 = 84.51/x
  3. Step 3: Cross multiply
    84.90x = 116.10 × 84.51
  4. Step 4: Simplify right side
    84.90x = 9,811.61
  5. Step 5: Solve for x
    x = 9,811.61/84.90
  6. Step 6: Final answer
    x = 115.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.