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Finding the Fourth Proportional to 63.14, 94.58 and 53.06

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Solution

The fourth proportional to 63.14, 94.58 and 53.06 is: 79.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.14 : 94.58 = 53.06 : x
  2. Step 2: Convert to fraction form
    63.14/94.58 = 53.06/x
  3. Step 3: Cross multiply
    63.14x = 94.58 × 53.06
  4. Step 4: Simplify right side
    63.14x = 5,018.41
  5. Step 5: Solve for x
    x = 5,018.41/63.14
  6. Step 6: Final answer
    x = 79.48

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Why These Related Problems?

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