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Finding the Fourth Proportional to 75.53, 104.21 and 42.77

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Solution

The fourth proportional to 75.53, 104.21 and 42.77 is: 59.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.53 : 104.21 = 42.77 : x
  2. Step 2: Convert to fraction form
    75.53/104.21 = 42.77/x
  3. Step 3: Cross multiply
    75.53x = 104.21 × 42.77
  4. Step 4: Simplify right side
    75.53x = 4,456.33
  5. Step 5: Solve for x
    x = 4,456.33/75.53
  6. Step 6: Final answer
    x = 59.00

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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.