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Finding the Fourth Proportional to 88.69, 133.03 and 27.82

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Solution

The fourth proportional to 88.69, 133.03 and 27.82 is: 41.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.69 : 133.03 = 27.82 : x
  2. Step 2: Convert to fraction form
    88.69/133.03 = 27.82/x
  3. Step 3: Cross multiply
    88.69x = 133.03 × 27.82
  4. Step 4: Simplify right side
    88.69x = 3,701.17
  5. Step 5: Solve for x
    x = 3,701.17/88.69
  6. Step 6: Final answer
    x = 41.73

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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.