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Finding the Fourth Proportional to 35.99, 53.75 and 31.43

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Solution

The fourth proportional to 35.99, 53.75 and 31.43 is: 46.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.99 : 53.75 = 31.43 : x
  2. Step 2: Convert to fraction form
    35.99/53.75 = 31.43/x
  3. Step 3: Cross multiply
    35.99x = 53.75 × 31.43
  4. Step 4: Simplify right side
    35.99x = 1,689.21
  5. Step 5: Solve for x
    x = 1,689.21/35.99
  6. Step 6: Final answer
    x = 46.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.