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Finding the Fourth Proportional to 52.62, 78.94 and 24.12

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Solution

The fourth proportional to 52.62, 78.94 and 24.12 is: 36.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.62 : 78.94 = 24.12 : x
  2. Step 2: Convert to fraction form
    52.62/78.94 = 24.12/x
  3. Step 3: Cross multiply
    52.62x = 78.94 × 24.12
  4. Step 4: Simplify right side
    52.62x = 1,904.03
  5. Step 5: Solve for x
    x = 1,904.03/52.62
  6. Step 6: Final answer
    x = 36.18

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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.