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Finding the Fourth Proportional to 75.42, 104.16 and 59.22

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Solution

The fourth proportional to 75.42, 104.16 and 59.22 is: 81.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.42 : 104.16 = 59.22 : x
  2. Step 2: Convert to fraction form
    75.42/104.16 = 59.22/x
  3. Step 3: Cross multiply
    75.42x = 104.16 × 59.22
  4. Step 4: Simplify right side
    75.42x = 6,168.36
  5. Step 5: Solve for x
    x = 6,168.36/75.42
  6. Step 6: Final answer
    x = 81.79

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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.