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Finding the Fourth Proportional to 47.32, 65.34 and 37.66

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Solution

The fourth proportional to 47.32, 65.34 and 37.66 is: 52.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.32 : 65.34 = 37.66 : x
  2. Step 2: Convert to fraction form
    47.32/65.34 = 37.66/x
  3. Step 3: Cross multiply
    47.32x = 65.34 × 37.66
  4. Step 4: Simplify right side
    47.32x = 2,460.70
  5. Step 5: Solve for x
    x = 2,460.70/47.32
  6. Step 6: Final answer
    x = 52.00

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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.