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Finding the Fourth Proportional to 61.80, 92.54 and 34.64

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Solution

The fourth proportional to 61.80, 92.54 and 34.64 is: 51.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.80 : 92.54 = 34.64 : x
  2. Step 2: Convert to fraction form
    61.80/92.54 = 34.64/x
  3. Step 3: Cross multiply
    61.80x = 92.54 × 34.64
  4. Step 4: Simplify right side
    61.80x = 3,205.59
  5. Step 5: Solve for x
    x = 3,205.59/61.80
  6. Step 6: Final answer
    x = 51.87

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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.