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Finding the Fourth Proportional to 75.24, 103.76 and 55.84

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Solution

The fourth proportional to 75.24, 103.76 and 55.84 is: 77.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.24 : 103.76 = 55.84 : x
  2. Step 2: Convert to fraction form
    75.24/103.76 = 55.84/x
  3. Step 3: Cross multiply
    75.24x = 103.76 × 55.84
  4. Step 4: Simplify right side
    75.24x = 5,793.96
  5. Step 5: Solve for x
    x = 5,793.96/75.24
  6. Step 6: Final answer
    x = 77.01

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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.