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Finding the Fourth Proportional to 102.94, 142.37 and 92.01

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Solution

The fourth proportional to 102.94, 142.37 and 92.01 is: 127.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.94 : 142.37 = 92.01 : x
  2. Step 2: Convert to fraction form
    102.94/142.37 = 92.01/x
  3. Step 3: Cross multiply
    102.94x = 142.37 × 92.01
  4. Step 4: Simplify right side
    102.94x = 13,099.46
  5. Step 5: Solve for x
    x = 13,099.46/102.94
  6. Step 6: Final answer
    x = 127.25

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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.