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Finding the Fourth Proportional to 79.23, 109.16 and 54.64

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Solution

The fourth proportional to 79.23, 109.16 and 54.64 is: 75.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.23 : 109.16 = 54.64 : x
  2. Step 2: Convert to fraction form
    79.23/109.16 = 54.64/x
  3. Step 3: Cross multiply
    79.23x = 109.16 × 54.64
  4. Step 4: Simplify right side
    79.23x = 5,963.96
  5. Step 5: Solve for x
    x = 5,963.96/79.23
  6. Step 6: Final answer
    x = 75.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.