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Finding the Fourth Proportional to 47.29, 65.29 and 36.91

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Solution

The fourth proportional to 47.29, 65.29 and 36.91 is: 50.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.29 : 65.29 = 36.91 : x
  2. Step 2: Convert to fraction form
    47.29/65.29 = 36.91/x
  3. Step 3: Cross multiply
    47.29x = 65.29 × 36.91
  4. Step 4: Simplify right side
    47.29x = 2,409.34
  5. Step 5: Solve for x
    x = 2,409.34/47.29
  6. Step 6: Final answer
    x = 50.95

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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.