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Finding the Fourth Proportional to 85.84, 118.50 and 54.77

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Solution

The fourth proportional to 85.84, 118.50 and 54.77 is: 75.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.84 : 118.50 = 54.77 : x
  2. Step 2: Convert to fraction form
    85.84/118.50 = 54.77/x
  3. Step 3: Cross multiply
    85.84x = 118.50 × 54.77
  4. Step 4: Simplify right side
    85.84x = 6,490.25
  5. Step 5: Solve for x
    x = 6,490.25/85.84
  6. Step 6: Final answer
    x = 75.61

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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.