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Finding the Fourth Proportional to 53.07, 73.22 and 42.21

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Solution

The fourth proportional to 53.07, 73.22 and 42.21 is: 58.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.07 : 73.22 = 42.21 : x
  2. Step 2: Convert to fraction form
    53.07/73.22 = 42.21/x
  3. Step 3: Cross multiply
    53.07x = 73.22 × 42.21
  4. Step 4: Simplify right side
    53.07x = 3,090.41
  5. Step 5: Solve for x
    x = 3,090.41/53.07
  6. Step 6: Final answer
    x = 58.23

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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.