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Finding the Fourth Proportional to 53.06, 73.19 and 31.22

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Solution

The fourth proportional to 53.06, 73.19 and 31.22 is: 43.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.06 : 73.19 = 31.22 : x
  2. Step 2: Convert to fraction form
    53.06/73.19 = 31.22/x
  3. Step 3: Cross multiply
    53.06x = 73.19 × 31.22
  4. Step 4: Simplify right side
    53.06x = 2,284.47
  5. Step 5: Solve for x
    x = 2,284.47/53.06
  6. Step 6: Final answer
    x = 43.06

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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.