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Finding the Fourth Proportional to 55.37, 82.67 and 52.11

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Solution

The fourth proportional to 55.37, 82.67 and 52.11 is: 77.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.37 : 82.67 = 52.11 : x
  2. Step 2: Convert to fraction form
    55.37/82.67 = 52.11/x
  3. Step 3: Cross multiply
    55.37x = 82.67 × 52.11
  4. Step 4: Simplify right side
    55.37x = 4,307.67
  5. Step 5: Solve for x
    x = 4,307.67/55.37
  6. Step 6: Final answer
    x = 77.79

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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.