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Finding the Fourth Proportional to 103.10, 142.20 and 79.76

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Solution

The fourth proportional to 103.10, 142.20 and 79.76 is: 110.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.10 : 142.20 = 79.76 : x
  2. Step 2: Convert to fraction form
    103.10/142.20 = 79.76/x
  3. Step 3: Cross multiply
    103.10x = 142.20 × 79.76
  4. Step 4: Simplify right side
    103.10x = 11,341.87
  5. Step 5: Solve for x
    x = 11,341.87/103.10
  6. Step 6: Final answer
    x = 110.01

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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.