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Finding the Fourth Proportional to 61.77, 93.17 and 54.25

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Solution

The fourth proportional to 61.77, 93.17 and 54.25 is: 81.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.77 : 93.17 = 54.25 : x
  2. Step 2: Convert to fraction form
    61.77/93.17 = 54.25/x
  3. Step 3: Cross multiply
    61.77x = 93.17 × 54.25
  4. Step 4: Simplify right side
    61.77x = 5,054.38
  5. Step 5: Solve for x
    x = 5,054.38/61.77
  6. Step 6: Final answer
    x = 81.82

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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.