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Finding the Fourth Proportional to 84.96, 117.16 and 55.84

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Solution

The fourth proportional to 84.96, 117.16 and 55.84 is: 77.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.96 : 117.16 = 55.84 : x
  2. Step 2: Convert to fraction form
    84.96/117.16 = 55.84/x
  3. Step 3: Cross multiply
    84.96x = 117.16 × 55.84
  4. Step 4: Simplify right side
    84.96x = 6,542.21
  5. Step 5: Solve for x
    x = 6,542.21/84.96
  6. Step 6: Final answer
    x = 77.00

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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.