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Finding the Fourth Proportional to 92.29, 127.30 and 61.18

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Solution

The fourth proportional to 92.29, 127.30 and 61.18 is: 84.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.29 : 127.30 = 61.18 : x
  2. Step 2: Convert to fraction form
    92.29/127.30 = 61.18/x
  3. Step 3: Cross multiply
    92.29x = 127.30 × 61.18
  4. Step 4: Simplify right side
    92.29x = 7,788.21
  5. Step 5: Solve for x
    x = 7,788.21/92.29
  6. Step 6: Final answer
    x = 84.39

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Why These Related Problems?

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