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Finding the Fourth Proportional to 79.40, 119.10 and 24.56

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Solution

The fourth proportional to 79.40, 119.10 and 24.56 is: 36.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.40 : 119.10 = 24.56 : x
  2. Step 2: Convert to fraction form
    79.40/119.10 = 24.56/x
  3. Step 3: Cross multiply
    79.40x = 119.10 × 24.56
  4. Step 4: Simplify right side
    79.40x = 2,925.10
  5. Step 5: Solve for x
    x = 2,925.10/79.40
  6. Step 6: Final answer
    x = 36.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.