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Finding the Fourth Proportional to 75.21, 112.84 and 39.16

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Solution

The fourth proportional to 75.21, 112.84 and 39.16 is: 58.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.21 : 112.84 = 39.16 : x
  2. Step 2: Convert to fraction form
    75.21/112.84 = 39.16/x
  3. Step 3: Cross multiply
    75.21x = 112.84 × 39.16
  4. Step 4: Simplify right side
    75.21x = 4,418.81
  5. Step 5: Solve for x
    x = 4,418.81/75.21
  6. Step 6: Final answer
    x = 58.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.