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Finding the Fourth Proportional to 37.42, 51.64 and 32.83

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Solution

The fourth proportional to 37.42, 51.64 and 32.83 is: 45.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.42 : 51.64 = 32.83 : x
  2. Step 2: Convert to fraction form
    37.42/51.64 = 32.83/x
  3. Step 3: Cross multiply
    37.42x = 51.64 × 32.83
  4. Step 4: Simplify right side
    37.42x = 1,695.34
  5. Step 5: Solve for x
    x = 1,695.34/37.42
  6. Step 6: Final answer
    x = 45.31

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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.