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Finding the Fourth Proportional to 103.42, 142.62 and 68.92

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Solution

The fourth proportional to 103.42, 142.62 and 68.92 is: 95.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.42 : 142.62 = 68.92 : x
  2. Step 2: Convert to fraction form
    103.42/142.62 = 68.92/x
  3. Step 3: Cross multiply
    103.42x = 142.62 × 68.92
  4. Step 4: Simplify right side
    103.42x = 9,829.37
  5. Step 5: Solve for x
    x = 9,829.37/103.42
  6. Step 6: Final answer
    x = 95.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.