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Finding the Fourth Proportional to 37.77, 56.65 and 12.11

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Solution

The fourth proportional to 37.77, 56.65 and 12.11 is: 18.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.77 : 56.65 = 12.11 : x
  2. Step 2: Convert to fraction form
    37.77/56.65 = 12.11/x
  3. Step 3: Cross multiply
    37.77x = 56.65 × 12.11
  4. Step 4: Simplify right side
    37.77x = 686.17
  5. Step 5: Solve for x
    x = 686.17/37.77
  6. Step 6: Final answer
    x = 18.17

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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.