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Finding the Fourth Proportional to 37.77, 56.38 and 32.00

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Solution

The fourth proportional to 37.77, 56.38 and 32.00 is: 47.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.77 : 56.38 = 32.00 : x
  2. Step 2: Convert to fraction form
    37.77/56.38 = 32.00/x
  3. Step 3: Cross multiply
    37.77x = 56.38 × 32.00
  4. Step 4: Simplify right side
    37.77x = 1,803.79
  5. Step 5: Solve for x
    x = 1,803.79/37.77
  6. Step 6: Final answer
    x = 47.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.