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Finding the Fourth Proportional to 79.09, 109.13 and 51.46

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Solution

The fourth proportional to 79.09, 109.13 and 51.46 is: 71.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.09 : 109.13 = 51.46 : x
  2. Step 2: Convert to fraction form
    79.09/109.13 = 51.46/x
  3. Step 3: Cross multiply
    79.09x = 109.13 × 51.46
  4. Step 4: Simplify right side
    79.09x = 5,615.30
  5. Step 5: Solve for x
    x = 5,615.30/79.09
  6. Step 6: Final answer
    x = 71.00

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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.