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Finding the Fourth Proportional to 79.70, 110.32 and 73.22

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Solution

The fourth proportional to 79.70, 110.32 and 73.22 is: 101.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.70 : 110.32 = 73.22 : x
  2. Step 2: Convert to fraction form
    79.70/110.32 = 73.22/x
  3. Step 3: Cross multiply
    79.70x = 110.32 × 73.22
  4. Step 4: Simplify right side
    79.70x = 8,077.63
  5. Step 5: Solve for x
    x = 8,077.63/79.70
  6. Step 6: Final answer
    x = 101.35

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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.