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Finding the Fourth Proportional to 102.92, 142.05 and 71.06

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Solution

The fourth proportional to 102.92, 142.05 and 71.06 is: 98.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.92 : 142.05 = 71.06 : x
  2. Step 2: Convert to fraction form
    102.92/142.05 = 71.06/x
  3. Step 3: Cross multiply
    102.92x = 142.05 × 71.06
  4. Step 4: Simplify right side
    102.92x = 10,093.36
  5. Step 5: Solve for x
    x = 10,093.36/102.92
  6. Step 6: Final answer
    x = 98.07

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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.