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Finding the Fourth Proportional to 63.73, 95.47 and 42.00

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Solution

The fourth proportional to 63.73, 95.47 and 42.00 is: 62.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.73 : 95.47 = 42.00 : x
  2. Step 2: Convert to fraction form
    63.73/95.47 = 42.00/x
  3. Step 3: Cross multiply
    63.73x = 95.47 × 42.00
  4. Step 4: Simplify right side
    63.73x = 4,009.28
  5. Step 5: Solve for x
    x = 4,009.28/63.73
  6. Step 6: Final answer
    x = 62.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.