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Finding the Fourth Proportional to 80.08, 110.50 and 52.06

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Solution

The fourth proportional to 80.08, 110.50 and 52.06 is: 71.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.08 : 110.50 = 52.06 : x
  2. Step 2: Convert to fraction form
    80.08/110.50 = 52.06/x
  3. Step 3: Cross multiply
    80.08x = 110.50 × 52.06
  4. Step 4: Simplify right side
    80.08x = 5,752.63
  5. Step 5: Solve for x
    x = 5,752.63/80.08
  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.