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Finding the Fourth Proportional to 37.77, 52.12 and 24.65

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Solution

The fourth proportional to 37.77, 52.12 and 24.65 is: 34.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.77 : 52.12 = 24.65 : x
  2. Step 2: Convert to fraction form
    37.77/52.12 = 24.65/x
  3. Step 3: Cross multiply
    37.77x = 52.12 × 24.65
  4. Step 4: Simplify right side
    37.77x = 1,284.76
  5. Step 5: Solve for x
    x = 1,284.76/37.77
  6. Step 6: Final answer
    x = 34.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.