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Finding the Fourth Proportional to 84.02, 115.88 and 54.86

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Solution

The fourth proportional to 84.02, 115.88 and 54.86 is: 75.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.02 : 115.88 = 54.86 : x
  2. Step 2: Convert to fraction form
    84.02/115.88 = 54.86/x
  3. Step 3: Cross multiply
    84.02x = 115.88 × 54.86
  4. Step 4: Simplify right side
    84.02x = 6,356.32
  5. Step 5: Solve for x
    x = 6,356.32/84.02
  6. Step 6: Final answer
    x = 75.66

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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.