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Finding the Fourth Proportional to 53.13, 73.29 and 31.29

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Solution

The fourth proportional to 53.13, 73.29 and 31.29 is: 43.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.13 : 73.29 = 31.29 : x
  2. Step 2: Convert to fraction form
    53.13/73.29 = 31.29/x
  3. Step 3: Cross multiply
    53.13x = 73.29 × 31.29
  4. Step 4: Simplify right side
    53.13x = 2,293.24
  5. Step 5: Solve for x
    x = 2,293.24/53.13
  6. Step 6: Final answer
    x = 43.16

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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.