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Finding the Fourth Proportional to 37.02, 51.06 and 32.10

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Solution

The fourth proportional to 37.02, 51.06 and 32.10 is: 44.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.02 : 51.06 = 32.10 : x
  2. Step 2: Convert to fraction form
    37.02/51.06 = 32.10/x
  3. Step 3: Cross multiply
    37.02x = 51.06 × 32.10
  4. Step 4: Simplify right side
    37.02x = 1,639.03
  5. Step 5: Solve for x
    x = 1,639.03/37.02
  6. Step 6: Final answer
    x = 44.27

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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.