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Finding the Fourth Proportional to 79.56, 120.24 and 79.56

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Solution

The fourth proportional to 79.56, 120.24 and 79.56 is: 120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.56 : 120.24 = 79.56 : x
  2. Step 2: Convert to fraction form
    79.56/120.24 = 79.56/x
  3. Step 3: Cross multiply
    79.56x = 120.24 × 79.56
  4. Step 4: Simplify right side
    79.56x = 9,566.29
  5. Step 5: Solve for x
    x = 9,566.29/79.56
  6. Step 6: Final answer
    x = 120.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.