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Finding the Fourth Proportional to 47.31, 65.39 and 42.36

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Solution

The fourth proportional to 47.31, 65.39 and 42.36 is: 58.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.31 : 65.39 = 42.36 : x
  2. Step 2: Convert to fraction form
    47.31/65.39 = 42.36/x
  3. Step 3: Cross multiply
    47.31x = 65.39 × 42.36
  4. Step 4: Simplify right side
    47.31x = 2,769.71
  5. Step 5: Solve for x
    x = 2,769.71/47.31
  6. Step 6: Final answer
    x = 58.54

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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.