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Finding the Fourth Proportional to 63.02, 94.14 and 52.34

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Solution

The fourth proportional to 63.02, 94.14 and 52.34 is: 78.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.02 : 94.14 = 52.34 : x
  2. Step 2: Convert to fraction form
    63.02/94.14 = 52.34/x
  3. Step 3: Cross multiply
    63.02x = 94.14 × 52.34
  4. Step 4: Simplify right side
    63.02x = 4,927.29
  5. Step 5: Solve for x
    x = 4,927.29/63.02
  6. Step 6: Final answer
    x = 78.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.