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Finding the Fourth Proportional to 75.36, 104.00 and 42.17

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Solution

The fourth proportional to 75.36, 104.00 and 42.17 is: 58.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.36 : 104.00 = 42.17 : x
  2. Step 2: Convert to fraction form
    75.36/104.00 = 42.17/x
  3. Step 3: Cross multiply
    75.36x = 104.00 × 42.17
  4. Step 4: Simplify right side
    75.36x = 4,385.89
  5. Step 5: Solve for x
    x = 4,385.89/75.36
  6. Step 6: Final answer
    x = 58.20

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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.