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Finding the Fourth Proportional to 53.71, 74.11 and 31.59

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Solution

The fourth proportional to 53.71, 74.11 and 31.59 is: 43.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.71 : 74.11 = 31.59 : x
  2. Step 2: Convert to fraction form
    53.71/74.11 = 31.59/x
  3. Step 3: Cross multiply
    53.71x = 74.11 × 31.59
  4. Step 4: Simplify right side
    53.71x = 2,341.23
  5. Step 5: Solve for x
    x = 2,341.23/53.71
  6. Step 6: Final answer
    x = 43.59

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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.