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Finding the Fourth Proportional to 75.19, 103.77 and 42.00

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Solution

The fourth proportional to 75.19, 103.77 and 42.00 is: 57.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.19 : 103.77 = 42.00 : x
  2. Step 2: Convert to fraction form
    75.19/103.77 = 42.00/x
  3. Step 3: Cross multiply
    75.19x = 103.77 × 42.00
  4. Step 4: Simplify right side
    75.19x = 4,357.88
  5. Step 5: Solve for x
    x = 4,357.88/75.19
  6. Step 6: Final answer
    x = 57.96

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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.