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Finding the Fourth Proportional to 63.16, 94.62 and 53

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Solution

The fourth proportional to 63.16, 94.62 and 53 is: 79.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.16 : 94.62 = 53 : x
  2. Step 2: Convert to fraction form
    63.16/94.62 = 53/x
  3. Step 3: Cross multiply
    63.16x = 94.62 × 53
  4. Step 4: Simplify right side
    63.16x = 5,014.86
  5. Step 5: Solve for x
    x = 5,014.86/63.16
  6. Step 6: Final answer
    x = 79.40

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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.