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Finding the Fourth Proportional to 53.07, 73.24 and 31.24

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Solution

The fourth proportional to 53.07, 73.24 and 31.24 is: 43.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.07 : 73.24 = 31.24 : x
  2. Step 2: Convert to fraction form
    53.07/73.24 = 31.24/x
  3. Step 3: Cross multiply
    53.07x = 73.24 × 31.24
  4. Step 4: Simplify right side
    53.07x = 2,288.24
  5. Step 5: Solve for x
    x = 2,288.24/53.07
  6. Step 6: Final answer
    x = 43.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.