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Finding the Fourth Proportional to 53.14, 73.34 and 31.32

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Solution

The fourth proportional to 53.14, 73.34 and 31.32 is: 43.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.14 : 73.34 = 31.32 : x
  2. Step 2: Convert to fraction form
    53.14/73.34 = 31.32/x
  3. Step 3: Cross multiply
    53.14x = 73.34 × 31.32
  4. Step 4: Simplify right side
    53.14x = 2,297.01
  5. Step 5: Solve for x
    x = 2,297.01/53.14
  6. Step 6: Final answer
    x = 43.23

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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.