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Finding the Fourth Proportional to 52.82, 78.79 and 48.16

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Solution

The fourth proportional to 52.82, 78.79 and 48.16 is: 71.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.82 : 78.79 = 48.16 : x
  2. Step 2: Convert to fraction form
    52.82/78.79 = 48.16/x
  3. Step 3: Cross multiply
    52.82x = 78.79 × 48.16
  4. Step 4: Simplify right side
    52.82x = 3,794.53
  5. Step 5: Solve for x
    x = 3,794.53/52.82
  6. Step 6: Final answer
    x = 71.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.