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Finding the Fourth Proportional to 53.83, 74.29 and 31.99

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Solution

The fourth proportional to 53.83, 74.29 and 31.99 is: 44.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.83 : 74.29 = 31.99 : x
  2. Step 2: Convert to fraction form
    53.83/74.29 = 31.99/x
  3. Step 3: Cross multiply
    53.83x = 74.29 × 31.99
  4. Step 4: Simplify right side
    53.83x = 2,376.54
  5. Step 5: Solve for x
    x = 2,376.54/53.83
  6. Step 6: Final answer
    x = 44.15

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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.