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Finding the Fourth Proportional to 75.21, 103.78 and 42.02

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Solution

The fourth proportional to 75.21, 103.78 and 42.02 is: 57.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.21 : 103.78 = 42.02 : x
  2. Step 2: Convert to fraction form
    75.21/103.78 = 42.02/x
  3. Step 3: Cross multiply
    75.21x = 103.78 × 42.02
  4. Step 4: Simplify right side
    75.21x = 4,360.32
  5. Step 5: Solve for x
    x = 4,360.32/75.21
  6. Step 6: Final answer
    x = 57.98

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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.