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Finding the Fourth Proportional to 53.74, 74.24 and 42.13

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Solution

The fourth proportional to 53.74, 74.24 and 42.13 is: 58.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.74 : 74.24 = 42.13 : x
  2. Step 2: Convert to fraction form
    53.74/74.24 = 42.13/x
  3. Step 3: Cross multiply
    53.74x = 74.24 × 42.13
  4. Step 4: Simplify right side
    53.74x = 3,127.73
  5. Step 5: Solve for x
    x = 3,127.73/53.74
  6. Step 6: Final answer
    x = 58.20

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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.