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Finding the Fourth Proportional to 47.11, 65.01 and 29.63

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Solution

The fourth proportional to 47.11, 65.01 and 29.63 is: 40.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.11 : 65.01 = 29.63 : x
  2. Step 2: Convert to fraction form
    47.11/65.01 = 29.63/x
  3. Step 3: Cross multiply
    47.11x = 65.01 × 29.63
  4. Step 4: Simplify right side
    47.11x = 1,926.25
  5. Step 5: Solve for x
    x = 1,926.25/47.11
  6. Step 6: Final answer
    x = 40.89

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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.