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Finding the Fourth Proportional to 52.76, 78.76 and 47.42

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Solution

The fourth proportional to 52.76, 78.76 and 47.42 is: 70.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.76 : 78.76 = 47.42 : x
  2. Step 2: Convert to fraction form
    52.76/78.76 = 47.42/x
  3. Step 3: Cross multiply
    52.76x = 78.76 × 47.42
  4. Step 4: Simplify right side
    52.76x = 3,734.80
  5. Step 5: Solve for x
    x = 3,734.80/52.76
  6. Step 6: Final answer
    x = 70.79

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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.