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Finding the Fourth Proportional to 46.99, 65.01 and 37.90

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Solution

The fourth proportional to 46.99, 65.01 and 37.90 is: 52.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.99 : 65.01 = 37.90 : x
  2. Step 2: Convert to fraction form
    46.99/65.01 = 37.90/x
  3. Step 3: Cross multiply
    46.99x = 65.01 × 37.90
  4. Step 4: Simplify right side
    46.99x = 2,463.88
  5. Step 5: Solve for x
    x = 2,463.88/46.99
  6. Step 6: Final answer
    x = 52.43

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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.