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Finding the Fourth Proportional to 52.24, 78.38 and 23.76

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Solution

The fourth proportional to 52.24, 78.38 and 23.76 is: 35.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.24 : 78.38 = 23.76 : x
  2. Step 2: Convert to fraction form
    52.24/78.38 = 23.76/x
  3. Step 3: Cross multiply
    52.24x = 78.38 × 23.76
  4. Step 4: Simplify right side
    52.24x = 1,862.31
  5. Step 5: Solve for x
    x = 1,862.31/52.24
  6. Step 6: Final answer
    x = 35.65

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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.