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Finding the Fourth Proportional to 37.64, 51.90 and 32.16

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Solution

The fourth proportional to 37.64, 51.90 and 32.16 is: 44.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.64 : 51.90 = 32.16 : x
  2. Step 2: Convert to fraction form
    37.64/51.90 = 32.16/x
  3. Step 3: Cross multiply
    37.64x = 51.90 × 32.16
  4. Step 4: Simplify right side
    37.64x = 1,669.10
  5. Step 5: Solve for x
    x = 1,669.10/37.64
  6. Step 6: Final answer
    x = 44.34

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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.