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Finding the Fourth Proportional to 52.81, 78.70 and 50.56

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Solution

The fourth proportional to 52.81, 78.70 and 50.56 is: 75.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.81 : 78.70 = 50.56 : x
  2. Step 2: Convert to fraction form
    52.81/78.70 = 50.56/x
  3. Step 3: Cross multiply
    52.81x = 78.70 × 50.56
  4. Step 4: Simplify right side
    52.81x = 3,979.07
  5. Step 5: Solve for x
    x = 3,979.07/52.81
  6. Step 6: Final answer
    x = 75.35

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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.