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Finding the Fourth Proportional to 87.58, 120.93 and 54.88

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Solution

The fourth proportional to 87.58, 120.93 and 54.88 is: 75.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.58 : 120.93 = 54.88 : x
  2. Step 2: Convert to fraction form
    87.58/120.93 = 54.88/x
  3. Step 3: Cross multiply
    87.58x = 120.93 × 54.88
  4. Step 4: Simplify right side
    87.58x = 6,636.94
  5. Step 5: Solve for x
    x = 6,636.94/87.58
  6. Step 6: Final answer
    x = 75.79

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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.