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Finding the Fourth Proportional to 52.14, 71.84 and 48.78

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Solution

The fourth proportional to 52.14, 71.84 and 48.78 is: 67.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.14 : 71.84 = 48.78 : x
  2. Step 2: Convert to fraction form
    52.14/71.84 = 48.78/x
  3. Step 3: Cross multiply
    52.14x = 71.84 × 48.78
  4. Step 4: Simplify right side
    52.14x = 3,504.11
  5. Step 5: Solve for x
    x = 3,504.11/52.14
  6. Step 6: Final answer
    x = 67.21

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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.