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Finding the Fourth Proportional to 55.34, 82.46 and 52.89

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Solution

The fourth proportional to 55.34, 82.46 and 52.89 is: 78.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.34 : 82.46 = 52.89 : x
  2. Step 2: Convert to fraction form
    55.34/82.46 = 52.89/x
  3. Step 3: Cross multiply
    55.34x = 82.46 × 52.89
  4. Step 4: Simplify right side
    55.34x = 4,361.31
  5. Step 5: Solve for x
    x = 4,361.31/55.34
  6. Step 6: Final answer
    x = 78.81

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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.