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Finding the Fourth Proportional to 75.29, 112.82 and 42.75

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Solution

The fourth proportional to 75.29, 112.82 and 42.75 is: 64.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.29 : 112.82 = 42.75 : x
  2. Step 2: Convert to fraction form
    75.29/112.82 = 42.75/x
  3. Step 3: Cross multiply
    75.29x = 112.82 × 42.75
  4. Step 4: Simplify right side
    75.29x = 4,822.84
  5. Step 5: Solve for x
    x = 4,822.84/75.29
  6. Step 6: Final answer
    x = 64.06

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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.