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Finding the Fourth Proportional to 92.74, 127.16 and 90.04

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Solution

The fourth proportional to 92.74, 127.16 and 90.04 is: 123.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.74 : 127.16 = 90.04 : x
  2. Step 2: Convert to fraction form
    92.74/127.16 = 90.04/x
  3. Step 3: Cross multiply
    92.74x = 127.16 × 90.04
  4. Step 4: Simplify right side
    92.74x = 11,449.49
  5. Step 5: Solve for x
    x = 11,449.49/92.74
  6. Step 6: Final answer
    x = 123.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.