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Finding the Fourth Proportional to 88.66, 132.98 and 24.54

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Solution

The fourth proportional to 88.66, 132.98 and 24.54 is: 36.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.66 : 132.98 = 24.54 : x
  2. Step 2: Convert to fraction form
    88.66/132.98 = 24.54/x
  3. Step 3: Cross multiply
    88.66x = 132.98 × 24.54
  4. Step 4: Simplify right side
    88.66x = 3,263.33
  5. Step 5: Solve for x
    x = 3,263.33/88.66
  6. Step 6: Final answer
    x = 36.81

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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.