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Finding the Fourth Proportional to 47.10, 65.05 and 37.87

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Solution

The fourth proportional to 47.10, 65.05 and 37.87 is: 52.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.10 : 65.05 = 37.87 : x
  2. Step 2: Convert to fraction form
    47.10/65.05 = 37.87/x
  3. Step 3: Cross multiply
    47.10x = 65.05 × 37.87
  4. Step 4: Simplify right side
    47.10x = 2,463.40
  5. Step 5: Solve for x
    x = 2,463.40/47.10
  6. Step 6: Final answer
    x = 52.30

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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.