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Finding the Fourth Proportional to 52.29, 78.03 and 49.56

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Solution

The fourth proportional to 52.29, 78.03 and 49.56 is: 73.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.29 : 78.03 = 49.56 : x
  2. Step 2: Convert to fraction form
    52.29/78.03 = 49.56/x
  3. Step 3: Cross multiply
    52.29x = 78.03 × 49.56
  4. Step 4: Simplify right side
    52.29x = 3,867.17
  5. Step 5: Solve for x
    x = 3,867.17/52.29
  6. Step 6: Final answer
    x = 73.96

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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.