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Finding the Fourth Proportional to 79.77, 110.01 and 52.09

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Solution

The fourth proportional to 79.77, 110.01 and 52.09 is: 71.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.77 : 110.01 = 52.09 : x
  2. Step 2: Convert to fraction form
    79.77/110.01 = 52.09/x
  3. Step 3: Cross multiply
    79.77x = 110.01 × 52.09
  4. Step 4: Simplify right side
    79.77x = 5,730.42
  5. Step 5: Solve for x
    x = 5,730.42/79.77
  6. Step 6: Final answer
    x = 71.84

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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.