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Finding the Fourth Proportional to 88.02, 132.03 and 51.84

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Solution

The fourth proportional to 88.02, 132.03 and 51.84 is: 77.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.02 : 132.03 = 51.84 : x
  2. Step 2: Convert to fraction form
    88.02/132.03 = 51.84/x
  3. Step 3: Cross multiply
    88.02x = 132.03 × 51.84
  4. Step 4: Simplify right side
    88.02x = 6,844.44
  5. Step 5: Solve for x
    x = 6,844.44/88.02
  6. Step 6: Final answer
    x = 77.76

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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.