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Finding the Fourth Proportional to 63.14, 94.77 and 53.01

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Solution

The fourth proportional to 63.14, 94.77 and 53.01 is: 79.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.14 : 94.77 = 53.01 : x
  2. Step 2: Convert to fraction form
    63.14/94.77 = 53.01/x
  3. Step 3: Cross multiply
    63.14x = 94.77 × 53.01
  4. Step 4: Simplify right side
    63.14x = 5,023.76
  5. Step 5: Solve for x
    x = 5,023.76/63.14
  6. Step 6: Final answer
    x = 79.57

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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.