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Finding the Fourth Proportional to 53.23, 73.46 and 31.11

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Solution

The fourth proportional to 53.23, 73.46 and 31.11 is: 42.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.23 : 73.46 = 31.11 : x
  2. Step 2: Convert to fraction form
    53.23/73.46 = 31.11/x
  3. Step 3: Cross multiply
    53.23x = 73.46 × 31.11
  4. Step 4: Simplify right side
    53.23x = 2,284.97
  5. Step 5: Solve for x
    x = 2,284.97/53.23
  6. Step 6: Final answer
    x = 42.93

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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.