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Finding the Fourth Proportional to 53.68, 74.06 and 37.31

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Solution

The fourth proportional to 53.68, 74.06 and 37.31 is: 51.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.68 : 74.06 = 37.31 : x
  2. Step 2: Convert to fraction form
    53.68/74.06 = 37.31/x
  3. Step 3: Cross multiply
    53.68x = 74.06 × 37.31
  4. Step 4: Simplify right side
    53.68x = 2,762.62
  5. Step 5: Solve for x
    x = 2,762.62/53.68
  6. Step 6: Final answer
    x = 51.47

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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.