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Finding the Fourth Proportional to 52.84, 78.80 and 50.08

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Solution

The fourth proportional to 52.84, 78.80 and 50.08 is: 74.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.84 : 78.80 = 50.08 : x
  2. Step 2: Convert to fraction form
    52.84/78.80 = 50.08/x
  3. Step 3: Cross multiply
    52.84x = 78.80 × 50.08
  4. Step 4: Simplify right side
    52.84x = 3,946.30
  5. Step 5: Solve for x
    x = 3,946.30/52.84
  6. Step 6: Final answer
    x = 74.68

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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.