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Finding the Fourth Proportional to 88.06, 132.14 and 49.54

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Solution

The fourth proportional to 88.06, 132.14 and 49.54 is: 74.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.06 : 132.14 = 49.54 : x
  2. Step 2: Convert to fraction form
    88.06/132.14 = 49.54/x
  3. Step 3: Cross multiply
    88.06x = 132.14 × 49.54
  4. Step 4: Simplify right side
    88.06x = 6,546.22
  5. Step 5: Solve for x
    x = 6,546.22/88.06
  6. Step 6: Final answer
    x = 74.34

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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.