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Finding the Fourth Proportional to 52.78, 72.84 and 30.95

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Solution

The fourth proportional to 52.78, 72.84 and 30.95 is: 42.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.78 : 72.84 = 30.95 : x
  2. Step 2: Convert to fraction form
    52.78/72.84 = 30.95/x
  3. Step 3: Cross multiply
    52.78x = 72.84 × 30.95
  4. Step 4: Simplify right side
    52.78x = 2,254.40
  5. Step 5: Solve for x
    x = 2,254.40/52.78
  6. Step 6: Final answer
    x = 42.71

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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.