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Finding the Fourth Proportional to 61.14, 92.24 and 57.82

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Solution

The fourth proportional to 61.14, 92.24 and 57.82 is: 87.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.14 : 92.24 = 57.82 : x
  2. Step 2: Convert to fraction form
    61.14/92.24 = 57.82/x
  3. Step 3: Cross multiply
    61.14x = 92.24 × 57.82
  4. Step 4: Simplify right side
    61.14x = 5,333.32
  5. Step 5: Solve for x
    x = 5,333.32/61.14
  6. Step 6: Final answer
    x = 87.23

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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.