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Finding the Fourth Proportional to 28.61, 42.71 and 22.85

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Solution

The fourth proportional to 28.61, 42.71 and 22.85 is: 34.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    28.61 : 42.71 = 22.85 : x
  2. Step 2: Convert to fraction form
    28.61/42.71 = 22.85/x
  3. Step 3: Cross multiply
    28.61x = 42.71 × 22.85
  4. Step 4: Simplify right side
    28.61x = 975.76
  5. Step 5: Solve for x
    x = 975.76/28.61
  6. Step 6: Final answer
    x = 34.11

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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.