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Finding the Fourth Proportional to 88.69, 132.90 and 52.60

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Solution

The fourth proportional to 88.69, 132.90 and 52.60 is: 78.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.69 : 132.90 = 52.60 : x
  2. Step 2: Convert to fraction form
    88.69/132.90 = 52.60/x
  3. Step 3: Cross multiply
    88.69x = 132.90 × 52.60
  4. Step 4: Simplify right side
    88.69x = 6,990.54
  5. Step 5: Solve for x
    x = 6,990.54/88.69
  6. Step 6: Final answer
    x = 78.82

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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.