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Finding the Fourth Proportional to 79.26, 109.36 and 53.07

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Solution

The fourth proportional to 79.26, 109.36 and 53.07 is: 73.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.26 : 109.36 = 53.07 : x
  2. Step 2: Convert to fraction form
    79.26/109.36 = 53.07/x
  3. Step 3: Cross multiply
    79.26x = 109.36 × 53.07
  4. Step 4: Simplify right side
    79.26x = 5,803.06
  5. Step 5: Solve for x
    x = 5,803.06/79.26
  6. Step 6: Final answer
    x = 73.22

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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.