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Finding the Fourth Proportional to 53.05, 79.34 and 45.54

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Solution

The fourth proportional to 53.05, 79.34 and 45.54 is: 68.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.05 : 79.34 = 45.54 : x
  2. Step 2: Convert to fraction form
    53.05/79.34 = 45.54/x
  3. Step 3: Cross multiply
    53.05x = 79.34 × 45.54
  4. Step 4: Simplify right side
    53.05x = 3,612.52
  5. Step 5: Solve for x
    x = 3,612.52/53.05
  6. Step 6: Final answer
    x = 68.10

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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.