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Finding the Fourth Proportional to 47.34, 65.40 and 37.74

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Solution

The fourth proportional to 47.34, 65.40 and 37.74 is: 52.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.34 : 65.40 = 37.74 : x
  2. Step 2: Convert to fraction form
    47.34/65.40 = 37.74/x
  3. Step 3: Cross multiply
    47.34x = 65.40 × 37.74
  4. Step 4: Simplify right side
    47.34x = 2,468.20
  5. Step 5: Solve for x
    x = 2,468.20/47.34
  6. Step 6: Final answer
    x = 52.14

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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.