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Finding the Fourth Proportional to 103.63, 142.91 and 79.02

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Solution

The fourth proportional to 103.63, 142.91 and 79.02 is: 108.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.63 : 142.91 = 79.02 : x
  2. Step 2: Convert to fraction form
    103.63/142.91 = 79.02/x
  3. Step 3: Cross multiply
    103.63x = 142.91 × 79.02
  4. Step 4: Simplify right side
    103.63x = 11,293.04
  5. Step 5: Solve for x
    x = 11,293.04/103.63
  6. Step 6: Final answer
    x = 108.98

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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.