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Finding the Fourth Proportional to 55.02, 82.14 and 51.78

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Solution

The fourth proportional to 55.02, 82.14 and 51.78 is: 77.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.02 : 82.14 = 51.78 : x
  2. Step 2: Convert to fraction form
    55.02/82.14 = 51.78/x
  3. Step 3: Cross multiply
    55.02x = 82.14 × 51.78
  4. Step 4: Simplify right side
    55.02x = 4,253.21
  5. Step 5: Solve for x
    x = 4,253.21/55.02
  6. Step 6: Final answer
    x = 77.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.