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Finding the Fourth Proportional to 88.61, 132.82 and 30.78

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Solution

The fourth proportional to 88.61, 132.82 and 30.78 is: 46.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.61 : 132.82 = 30.78 : x
  2. Step 2: Convert to fraction form
    88.61/132.82 = 30.78/x
  3. Step 3: Cross multiply
    88.61x = 132.82 × 30.78
  4. Step 4: Simplify right side
    88.61x = 4,087.38
  5. Step 5: Solve for x
    x = 4,087.38/88.61
  6. Step 6: Final answer
    x = 46.13

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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.