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Finding the Fourth Proportional to 61.83, 92.66 and 54.23

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Solution

The fourth proportional to 61.83, 92.66 and 54.23 is: 81.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.83 : 92.66 = 54.23 : x
  2. Step 2: Convert to fraction form
    61.83/92.66 = 54.23/x
  3. Step 3: Cross multiply
    61.83x = 92.66 × 54.23
  4. Step 4: Simplify right side
    61.83x = 5,024.22
  5. Step 5: Solve for x
    x = 5,024.22/61.83
  6. Step 6: Final answer
    x = 81.26

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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.