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Finding the Fourth Proportional to 61.74, 92.39 and 53.29

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Solution

The fourth proportional to 61.74, 92.39 and 53.29 is: 79.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.74 : 92.39 = 53.29 : x
  2. Step 2: Convert to fraction form
    61.74/92.39 = 53.29/x
  3. Step 3: Cross multiply
    61.74x = 92.39 × 53.29
  4. Step 4: Simplify right side
    61.74x = 4,923.37
  5. Step 5: Solve for x
    x = 4,923.37/61.74
  6. Step 6: Final answer
    x = 79.74

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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.