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Finding the Fourth Proportional to 53.23, 79.94 and 39.66

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Solution

The fourth proportional to 53.23, 79.94 and 39.66 is: 59.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.23 : 79.94 = 39.66 : x
  2. Step 2: Convert to fraction form
    53.23/79.94 = 39.66/x
  3. Step 3: Cross multiply
    53.23x = 79.94 × 39.66
  4. Step 4: Simplify right side
    53.23x = 3,170.42
  5. Step 5: Solve for x
    x = 3,170.42/53.23
  6. Step 6: Final answer
    x = 59.56

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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.