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Finding the Fourth Proportional to 47.71, 65.81 and 35.42

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Solution

The fourth proportional to 47.71, 65.81 and 35.42 is: 48.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.71 : 65.81 = 35.42 : x
  2. Step 2: Convert to fraction form
    47.71/65.81 = 35.42/x
  3. Step 3: Cross multiply
    47.71x = 65.81 × 35.42
  4. Step 4: Simplify right side
    47.71x = 2,330.81
  5. Step 5: Solve for x
    x = 2,330.81/47.71
  6. Step 6: Final answer
    x = 48.86

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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.