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Finding the Fourth Proportional to 84.90, 116.94 and 77.00

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Solution

The fourth proportional to 84.90, 116.94 and 77.00 is: 106.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.90 : 116.94 = 77.00 : x
  2. Step 2: Convert to fraction form
    84.90/116.94 = 77.00/x
  3. Step 3: Cross multiply
    84.90x = 116.94 × 77.00
  4. Step 4: Simplify right side
    84.90x = 9,004.74
  5. Step 5: Solve for x
    x = 9,004.74/84.90
  6. Step 6: Final answer
    x = 106.07

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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.