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Finding the Fourth Proportional to 62.54, 93.64 and 55.04

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Solution

The fourth proportional to 62.54, 93.64 and 55.04 is: 82.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.54 : 93.64 = 55.04 : x
  2. Step 2: Convert to fraction form
    62.54/93.64 = 55.04/x
  3. Step 3: Cross multiply
    62.54x = 93.64 × 55.04
  4. Step 4: Simplify right side
    62.54x = 5,153.95
  5. Step 5: Solve for x
    x = 5,153.95/62.54
  6. Step 6: Final answer
    x = 82.41

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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.