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Finding the Fourth Proportional to 47.70, 65.83 and 29.29

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Solution

The fourth proportional to 47.70, 65.83 and 29.29 is: 40.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.70 : 65.83 = 29.29 : x
  2. Step 2: Convert to fraction form
    47.70/65.83 = 29.29/x
  3. Step 3: Cross multiply
    47.70x = 65.83 × 29.29
  4. Step 4: Simplify right side
    47.70x = 1,928.16
  5. Step 5: Solve for x
    x = 1,928.16/47.70
  6. Step 6: Final answer
    x = 40.42

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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.