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Finding the Fourth Proportional to 92.25, 127.19 and 61.10

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Solution

The fourth proportional to 92.25, 127.19 and 61.10 is: 84.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.25 : 127.19 = 61.10 : x
  2. Step 2: Convert to fraction form
    92.25/127.19 = 61.10/x
  3. Step 3: Cross multiply
    92.25x = 127.19 × 61.10
  4. Step 4: Simplify right side
    92.25x = 7,770.83
  5. Step 5: Solve for x
    x = 7,770.83/92.25
  6. Step 6: Final answer
    x = 84.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.