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Finding the Fourth Proportional to 61.34, 92.38 and 57.29

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Solution

The fourth proportional to 61.34, 92.38 and 57.29 is: 86.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.34 : 92.38 = 57.29 : x
  2. Step 2: Convert to fraction form
    61.34/92.38 = 57.29/x
  3. Step 3: Cross multiply
    61.34x = 92.38 × 57.29
  4. Step 4: Simplify right side
    61.34x = 5,292.54
  5. Step 5: Solve for x
    x = 5,292.54/61.34
  6. Step 6: Final answer
    x = 86.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.