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Finding the Fourth Proportional to 75.54, 104.34 and 53.66

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Solution

The fourth proportional to 75.54, 104.34 and 53.66 is: 74.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.54 : 104.34 = 53.66 : x
  2. Step 2: Convert to fraction form
    75.54/104.34 = 53.66/x
  3. Step 3: Cross multiply
    75.54x = 104.34 × 53.66
  4. Step 4: Simplify right side
    75.54x = 5,598.88
  5. Step 5: Solve for x
    x = 5,598.88/75.54
  6. Step 6: Final answer
    x = 74.12

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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.