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Finding the Fourth Proportional to 53.12, 79.69 and 31.49

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Solution

The fourth proportional to 53.12, 79.69 and 31.49 is: 47.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.12 : 79.69 = 31.49 : x
  2. Step 2: Convert to fraction form
    53.12/79.69 = 31.49/x
  3. Step 3: Cross multiply
    53.12x = 79.69 × 31.49
  4. Step 4: Simplify right side
    53.12x = 2,509.44
  5. Step 5: Solve for x
    x = 2,509.44/53.12
  6. Step 6: Final answer
    x = 47.24

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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.