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Finding the Fourth Proportional to 79.22, 109.30 and 53.05

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Solution

The fourth proportional to 79.22, 109.30 and 53.05 is: 73.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.22 : 109.30 = 53.05 : x
  2. Step 2: Convert to fraction form
    79.22/109.30 = 53.05/x
  3. Step 3: Cross multiply
    79.22x = 109.30 × 53.05
  4. Step 4: Simplify right side
    79.22x = 5,798.37
  5. Step 5: Solve for x
    x = 5,798.37/79.22
  6. Step 6: Final answer
    x = 73.19

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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.