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Finding the Fourth Proportional to 37.76, 56.66 and 32.69

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Solution

The fourth proportional to 37.76, 56.66 and 32.69 is: 49.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.76 : 56.66 = 32.69 : x
  2. Step 2: Convert to fraction form
    37.76/56.66 = 32.69/x
  3. Step 3: Cross multiply
    37.76x = 56.66 × 32.69
  4. Step 4: Simplify right side
    37.76x = 1,851.77
  5. Step 5: Solve for x
    x = 1,851.77/37.76
  6. Step 6: Final answer
    x = 49.05

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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.