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Finding the Fourth Proportional to 52.38, 78.43 and 35.23

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Solution

The fourth proportional to 52.38, 78.43 and 35.23 is: 52.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.38 : 78.43 = 35.23 : x
  2. Step 2: Convert to fraction form
    52.38/78.43 = 35.23/x
  3. Step 3: Cross multiply
    52.38x = 78.43 × 35.23
  4. Step 4: Simplify right side
    52.38x = 2,762.52
  5. Step 5: Solve for x
    x = 2,762.52/52.38
  6. Step 6: Final answer
    x = 52.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.