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Finding the Fourth Proportional to 102.96, 142.08 and 75.42

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Solution

The fourth proportional to 102.96, 142.08 and 75.42 is: 104.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.96 : 142.08 = 75.42 : x
  2. Step 2: Convert to fraction form
    102.96/142.08 = 75.42/x
  3. Step 3: Cross multiply
    102.96x = 142.08 × 75.42
  4. Step 4: Simplify right side
    102.96x = 10,715.67
  5. Step 5: Solve for x
    x = 10,715.67/102.96
  6. Step 6: Final answer
    x = 104.08

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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.