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Finding the Fourth Proportional to 52.80, 72.79 and 34.34

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Solution

The fourth proportional to 52.80, 72.79 and 34.34 is: 47.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.80 : 72.79 = 34.34 : x
  2. Step 2: Convert to fraction form
    52.80/72.79 = 34.34/x
  3. Step 3: Cross multiply
    52.80x = 72.79 × 34.34
  4. Step 4: Simplify right side
    52.80x = 2,499.67
  5. Step 5: Solve for x
    x = 2,499.67/52.80
  6. Step 6: Final answer
    x = 47.35

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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.