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Finding the Fourth Proportional to 79.84, 110.10 and 53.59

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Solution

The fourth proportional to 79.84, 110.10 and 53.59 is: 73.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.84 : 110.10 = 53.59 : x
  2. Step 2: Convert to fraction form
    79.84/110.10 = 53.59/x
  3. Step 3: Cross multiply
    79.84x = 110.10 × 53.59
  4. Step 4: Simplify right side
    79.84x = 5,900.26
  5. Step 5: Solve for x
    x = 5,900.26/79.84
  6. Step 6: Final answer
    x = 73.90

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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.