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Finding the Fourth Proportional to 88.59, 132.89 and 27.71

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Solution

The fourth proportional to 88.59, 132.89 and 27.71 is: 41.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.59 : 132.89 = 27.71 : x
  2. Step 2: Convert to fraction form
    88.59/132.89 = 27.71/x
  3. Step 3: Cross multiply
    88.59x = 132.89 × 27.71
  4. Step 4: Simplify right side
    88.59x = 3,681.58
  5. Step 5: Solve for x
    x = 3,681.58/88.59
  6. Step 6: Final answer
    x = 41.56

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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.