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Finding the Fourth Proportional to 92.29, 127.34 and 55.46

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Solution

The fourth proportional to 92.29, 127.34 and 55.46 is: 76.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.29 : 127.34 = 55.46 : x
  2. Step 2: Convert to fraction form
    92.29/127.34 = 55.46/x
  3. Step 3: Cross multiply
    92.29x = 127.34 × 55.46
  4. Step 4: Simplify right side
    92.29x = 7,061.50
  5. Step 5: Solve for x
    x = 7,061.50/92.29
  6. Step 6: Final answer
    x = 76.52

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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.