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Finding the Fourth Proportional to 75.03, 112.12 and 55.82

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Solution

The fourth proportional to 75.03, 112.12 and 55.82 is: 83.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.03 : 112.12 = 55.82 : x
  2. Step 2: Convert to fraction form
    75.03/112.12 = 55.82/x
  3. Step 3: Cross multiply
    75.03x = 112.12 × 55.82
  4. Step 4: Simplify right side
    75.03x = 6,258.68
  5. Step 5: Solve for x
    x = 6,258.68/75.03
  6. Step 6: Final answer
    x = 83.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.