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Finding the Fourth Proportional to 62.25, 92.61 and 62.04

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Solution

The fourth proportional to 62.25, 92.61 and 62.04 is: 92.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.25 : 92.61 = 62.04 : x
  2. Step 2: Convert to fraction form
    62.25/92.61 = 62.04/x
  3. Step 3: Cross multiply
    62.25x = 92.61 × 62.04
  4. Step 4: Simplify right side
    62.25x = 5,745.52
  5. Step 5: Solve for x
    x = 5,745.52/62.25
  6. Step 6: Final answer
    x = 92.30

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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.